Koike, Takayuki \( \overline{\partial}\) cohomology of the complement of a semi-positive anticanonical divisor of a compact surface. (English) Zbl 07901567 Math. Z. 308, No. 2, Paper No. 22, 31 p. (2024). MSC: 32C35 32F10 PDFBibTeX XMLCite \textit{T. Koike}, Math. Z. 308, No. 2, Paper No. 22, 31 p. (2024; Zbl 07901567) Full Text: DOI arXiv
Jung, Seoung Dal Twisted Frölicher-type inequality on foliations. (English) Zbl 07799733 J. Geom. Phys. 197, Article ID 105083, 10 p. (2024). Reviewer: Hiraku Nozawa (Bures-sur-Yvette) MSC: 53C12 53C55 PDFBibTeX XMLCite \textit{S. D. Jung}, J. Geom. Phys. 197, Article ID 105083, 10 p. (2024; Zbl 07799733) Full Text: DOI
Kasuya, Hisashi Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds. (English) Zbl 07712726 Eur. J. Math. 9, No. 3, Paper No. 50, 15 p. (2023). Reviewer: Roman Urban (Wrocław) MSC: 53C55 22E25 32L10 53C55 58A14 PDFBibTeX XMLCite \textit{H. Kasuya}, Eur. J. Math. 9, No. 3, Paper No. 50, 15 p. (2023; Zbl 07712726) Full Text: DOI arXiv
Jacobowitz, Howard; Jahnke, Max Reinhold Levi-flat CR structures on compact Lie groups. (English) Zbl 1533.32011 Ann. Global Anal. Geom. 64, No. 1, Paper No. 4, 21 p. (2023). Reviewer: Francine Meylan (Lausanne) MSC: 32V05 58J10 22C05 22E30 PDFBibTeX XMLCite \textit{H. Jacobowitz} and \textit{M. R. Jahnke}, Ann. Global Anal. Geom. 64, No. 1, Paper No. 4, 21 p. (2023; Zbl 1533.32011) Full Text: DOI arXiv OA License
Honda, Naofumi; Izawa, Takeshi; Suwa, Tatsuo Sato hyperfunctions via relative Dolbeault cohomology. (English) Zbl 1510.32008 J. Math. Soc. Japan 75, No. 1, 229-290 (2023). MSC: 32A45 32C35 PDFBibTeX XMLCite \textit{N. Honda} et al., J. Math. Soc. Japan 75, No. 1, 229--290 (2023; Zbl 1510.32008) Full Text: DOI arXiv Link
Meng, Lingxu Holomorphic Koszul-Brylinski homology via Dolbeault cohomology. (English) Zbl 1509.53091 Geom. Dedicata 217, No. 2, Paper No. 19, 15 p. (2023). Reviewer: Francesco Cattafi (Würzburg) MSC: 53D17 32C35 32Q99 PDFBibTeX XMLCite \textit{L. Meng}, Geom. Dedicata 217, No. 2, Paper No. 19, 15 p. (2023; Zbl 1509.53091) Full Text: DOI arXiv
Suwa, Tatsuo Relative Dolbeault cohomology. (English) Zbl 1522.14007 Riv. Mat. Univ. Parma (N.S.) 13, No. 2, 307-352 (2022). Reviewer: Laura Geatti (Roma) MSC: 14B15 14F08 32A45 32C35 32C37 35A27 46A20 46F15 46M20 55N05 58J15 PDFBibTeX XMLCite \textit{T. Suwa}, Riv. Mat. Univ. Parma (N.S.) 13, No. 2, 307--352 (2022; Zbl 1522.14007) Full Text: arXiv Link
Suwa, Tatsuo Residues and hyperfunctions. (English) Zbl 1504.32073 Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities III. Cham: Springer. 565-644 (2022). MSC: 32Q55 55Mxx PDFBibTeX XMLCite \textit{T. Suwa}, in: Handbook of geometry and topology of singularities III. Cham: Springer. 565--644 (2022; Zbl 1504.32073) Full Text: DOI
Coelho, R.; Placini, G.; Stelzig, J. Maximally non-integrable almost complex structures: an \(h\)-principle and cohomological properties. (English) Zbl 1504.32074 Sel. Math., New Ser. 28, No. 5, Paper No. 83, 25 p. (2022). MSC: 32Q60 53C15 PDFBibTeX XMLCite \textit{R. Coelho} et al., Sel. Math., New Ser. 28, No. 5, Paper No. 83, 25 p. (2022; Zbl 1504.32074) Full Text: DOI arXiv OA License
Jung, Seoung Dal Twisted basic Dolbeault cohomology on transverse Kähler foliations. (English) Zbl 1503.53050 Ann. Global Anal. Geom. 62, No. 2, 285-303 (2022). MSC: 53C12 53C21 53C55 57R30 58J50 PDFBibTeX XMLCite \textit{S. D. Jung}, Ann. Global Anal. Geom. 62, No. 2, 285--303 (2022; Zbl 1503.53050) Full Text: DOI arXiv
Burchard, Almut; Flynn, Joshua; Lu, Guozhen; Shaw, Mei-Chi Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle. (English) Zbl 1510.32089 Math. Z. 301, No. 3, 2771-2792 (2022). Reviewer: Emil J. Straube (College Station) MSC: 32W05 35N15 PDFBibTeX XMLCite \textit{A. Burchard} et al., Math. Z. 301, No. 3, 2771--2792 (2022; Zbl 1510.32089) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Twisted Dolbeault cohomology of nilpotent Lie algebras. (English) Zbl 1501.17018 Transform. Groups 27, No. 1, 225-238 (2022). Reviewer: Anna Fino (Torino) MSC: 17B56 17B30 53C56 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Transform. Groups 27, No. 1, 225--238 (2022; Zbl 1501.17018) Full Text: DOI arXiv
Xia, Wei Deformations of Dolbeault cohomology classes. (English) Zbl 1495.32032 Math. Z. 300, No. 3, 2931-2973 (2022). Reviewer: Quanting Zhao (Wuhan) MSC: 32G05 32L10 PDFBibTeX XMLCite \textit{W. Xia}, Math. Z. 300, No. 3, 2931--2973 (2022; Zbl 1495.32032) Full Text: DOI arXiv
Skoda, Henri A Dolbeault lemma for temperate currents. (Un lemme de Dolbeault pour les courants tempérés.) (English. French summary) Zbl 1494.31013 Ann. Henri Lebesgue 4, 879-896 (2021). Reviewer: Ingo Lieb (Bonn) MSC: 31B05 31B10 31C10 32A10 32C35 32E10 32Q15 32Q28 32U40 32W05 58A25 PDFBibTeX XMLCite \textit{H. Skoda}, Ann. Henri Lebesgue 4, 879--896 (2021; Zbl 1494.31013) Full Text: DOI arXiv OA License
Stelzig, Jonas The double complex of a blow-up. (English) Zbl 1478.32027 Int. Math. Res. Not. 2021, No. 14, 10731-10744 (2021). MSC: 32C36 32J15 32S45 PDFBibTeX XMLCite \textit{J. Stelzig}, Int. Math. Res. Not. 2021, No. 14, 10731--10744 (2021; Zbl 1478.32027) Full Text: DOI arXiv
Sillari, Lorenzo; Tomassini, Adriano Dolbeault and \(J\)-invariant cohomologies on almost complex manifolds. (English) Zbl 1484.32045 Complex Anal. Oper. Theory 15, No. 7, Paper No. 112, 28 p. (2021). Reviewer: Tobias Shin (Stony Brook) MSC: 32Q60 53C15 PDFBibTeX XMLCite \textit{L. Sillari} and \textit{A. Tomassini}, Complex Anal. Oper. Theory 15, No. 7, Paper No. 112, 28 p. (2021; Zbl 1484.32045) Full Text: DOI arXiv OA License
Cirici, Joana; Wilson, Scott O. Dolbeault cohomology for almost complex manifolds. (English) Zbl 1478.32085 Adv. Math. 391, Article ID 107970, 52 p. (2021). MSC: 32Q60 53C15 PDFBibTeX XMLCite \textit{J. Cirici} and \textit{S. O. Wilson}, Adv. Math. 391, Article ID 107970, 52 p. (2021; Zbl 1478.32085) Full Text: DOI arXiv OA License
Meng, Lingxu The heredity and bimeromorphic invariance of the \(\partial\bar{\partial}\)-lemma property. (English) Zbl 1477.32050 C. R., Math., Acad. Sci. Paris 359, No. 6, 645-650 (2021). MSC: 32Q99 32W05 PDFBibTeX XMLCite \textit{L. Meng}, C. R., Math., Acad. Sci. Paris 359, No. 6, 645--650 (2021; Zbl 1477.32050) Full Text: DOI arXiv OA License
Xia, Wei Deformations of Dolbeault cohomology classes for Lie algebra with complex structures. (English) Zbl 1477.32017 Ann. Global Anal. Geom. 60, No. 3, 709-734 (2021). Reviewer: Quanting Zhao (Wuhan) MSC: 32G05 17B56 PDFBibTeX XMLCite \textit{W. Xia}, Ann. Global Anal. Geom. 60, No. 3, 709--734 (2021; Zbl 1477.32017) Full Text: DOI arXiv
Boucetta, Mohamed; Wadia Mansouri, Mohammed Left invariant generalized complex and Kähler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies. (English) Zbl 1469.53128 J. Algebra 576, 27-94 (2021). Reviewer: Béchir Dali (Bizerte) MSC: 53D18 22E25 17B30 PDFBibTeX XMLCite \textit{M. Boucetta} and \textit{M. Wadia Mansouri}, J. Algebra 576, 27--94 (2021; Zbl 1469.53128) Full Text: DOI arXiv
Hamidine, Ibrahima; Sambou, Salomon Introduction to the resolution of \(d'd''\) for the supercurrents in the non-Archimedean frame. (English) Zbl 1460.32045 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the first biennial international research symposium, NLAGA-BIRS, Dakar, Senegal, June 24–28, 2019. Cham: Birkhäuser. Trends Math., 411-424 (2020). MSC: 32P05 32W05 32U40 PDFBibTeX XMLCite \textit{I. Hamidine} and \textit{S. Sambou}, in: Nonlinear analysis, geometry and applications. Proceedings of the first biennial international research symposium, NLAGA-BIRS, Dakar, Senegal, June 24--28, 2019. Cham: Birkhäuser. 411--424 (2020; Zbl 1460.32045) Full Text: DOI
Laurent-Thiébaut, Christine; Shaw, Mei-Chi Holomorphic approximation via Dolbeault cohomology. (English) Zbl 1462.32012 Math. Z. 296, No. 3-4, 1027-1047 (2020). Reviewer: Yunus E. Zeytuncu (Ann Arbor) MSC: 32E30 32W05 PDFBibTeX XMLCite \textit{C. Laurent-Thiébaut} and \textit{M.-C. Shaw}, Math. Z. 296, No. 3--4, 1027--1047 (2020; Zbl 1462.32012) Full Text: DOI arXiv
Angella, Daniele; Suwa, Tatsuo; Tardini, Nicoletta; Tomassini, Adriano Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms. (English) Zbl 1462.32021 Complex Manifolds 7, 194-214 (2020). Reviewer: Martin Sera (Kyoto) MSC: 32J99 32C35 32S45 PDFBibTeX XMLCite \textit{D. Angella} et al., Complex Manifolds 7, 194--214 (2020; Zbl 1462.32021) Full Text: DOI arXiv OA License
Klemyatin, Nikita Dolbeault cohomology of compact complex manifolds with an action of a complex Lie group. (English) Zbl 1448.53077 J. Geom. Phys. 157, Article ID 103823, 7 p. (2020). MSC: 53C56 53C55 58A12 57T25 PDFBibTeX XMLCite \textit{N. Klemyatin}, J. Geom. Phys. 157, Article ID 103823, 7 p. (2020; Zbl 1448.53077) Full Text: DOI arXiv
Meng, Lingxu Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology. (English) Zbl 1476.32008 Ann. Mat. Pura Appl. (4) 199, No. 5, 1997-2014 (2020). MSC: 32J25 14F25 32C35 PDFBibTeX XMLCite \textit{L. Meng}, Ann. Mat. Pura Appl. (4) 199, No. 5, 1997--2014 (2020; Zbl 1476.32008) Full Text: DOI arXiv
Tardini, Nicoletta Relative Čech-Dolbeault homology and applications. (English) Zbl 1439.32070 Ann. Mat. Pura Appl. (4) 199, No. 3, 985-995 (2020). MSC: 32Q99 32H99 PDFBibTeX XMLCite \textit{N. Tardini}, Ann. Mat. Pura Appl. (4) 199, No. 3, 985--995 (2020; Zbl 1439.32070) Full Text: DOI arXiv
Rollenske, Sönke; Tomassini, Adriano; Wang, Xu Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles. (English) Zbl 1455.53051 Ann. Mat. Pura Appl. (4) 199, No. 3, 833-862 (2020). Reviewer: James Hebda (St. Louis) MSC: 53C12 53C25 53C55 PDFBibTeX XMLCite \textit{S. Rollenske} et al., Ann. Mat. Pura Appl. (4) 199, No. 3, 833--862 (2020; Zbl 1455.53051) Full Text: DOI
Liu, Yifeng Tropical cycle classes for non-Archimedean spaces and weight decomposition of de Rham cohomology sheaves. (English) Zbl 1453.14150 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 291-352 (2020). MSC: 14T20 14G22 32C99 PDFBibTeX XMLCite \textit{Y. Liu}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 291--352 (2020; Zbl 1453.14150) Full Text: DOI
Meng, Lingxu Morse-Novikov cohomology on complex manifolds. (English) Zbl 1436.32032 J. Geom. Anal. 30, No. 1, 493-510 (2020). MSC: 32C35 57R19 PDFBibTeX XMLCite \textit{L. Meng}, J. Geom. Anal. 30, No. 1, 493--510 (2020; Zbl 1436.32032) Full Text: DOI arXiv
Rao, Sheng; Yang, Song; Yang, Xiangdong Dolbeault cohomologies of blowing up complex manifolds. II: Bundle-valued case. (English. French summary) Zbl 1430.32010 J. Math. Pures Appl. (9) 133, 1-38 (2020). MSC: 32S45 32L20 32L10 PDFBibTeX XMLCite \textit{S. Rao} et al., J. Math. Pures Appl. (9) 133, 1--38 (2020; Zbl 1430.32010) Full Text: DOI arXiv
Fino, Anna; Rollenske, Sönke; Ruppenthal, Jean Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups. (English) Zbl 1486.32004 Q. J. Math. 70, No. 4, 1265-1279 (2019). Reviewer: Sergey M. Ivashkovich (Lille) MSC: 32C36 22E25 37F75 53C30 53C15 PDFBibTeX XMLCite \textit{A. Fino} et al., Q. J. Math. 70, No. 4, 1265--1279 (2019; Zbl 1486.32004) Full Text: DOI arXiv
McHugh, Andrew Bott-Chern-Aeppli, Dolbeault, and Frölicher on compact complex 3-folds. (English) Zbl 1436.32089 Riv. Mat. Univ. Parma (N.S.) 10, No. 1, 25-62 (2019). MSC: 32Q99 53C55 32C35 PDFBibTeX XMLCite \textit{A. McHugh}, Riv. Mat. Univ. Parma (N.S.) 10, No. 1, 25--62 (2019; Zbl 1436.32089) Full Text: arXiv
Liu, Yifeng Monodromy map for tropical Dolbeault cohomology. (English) Zbl 1441.14086 Algebr. Geom. 6, No. 4, 384-409 (2019). MSC: 14G22 14T25 PDFBibTeX XMLCite \textit{Y. Liu}, Algebr. Geom. 6, No. 4, 384--409 (2019; Zbl 1441.14086) Full Text: DOI arXiv
Yamada, Takumi Holomorphic vector fields and Hodge numbers of compact pseudo-Kähler nilmanifolds. (English) Zbl 1425.53061 J. Geom. Phys. 144, 263-272 (2019). MSC: 53C30 22E25 57T15 PDFBibTeX XMLCite \textit{T. Yamada}, J. Geom. Phys. 144, 263--272 (2019; Zbl 1425.53061) Full Text: DOI
Laurent-Thiébaut, Christine; Shaw, Mei-Chi Solving \(\overline{\partial }\) with prescribed support on Hartogs triangles in \(\mathbb{C}^2\) and \(\mathbb{CP}^2\). (English) Zbl 1439.32024 Trans. Am. Math. Soc. 371, No. 9, 6531-6546 (2019). Reviewer: Fritz Haslinger (Wien) MSC: 32C35 32W05 32C37 PDFBibTeX XMLCite \textit{C. Laurent-Thiébaut} and \textit{M.-C. Shaw}, Trans. Am. Math. Soc. 371, No. 9, 6531--6546 (2019; Zbl 1439.32024) Full Text: DOI arXiv
Marini, Stefano; Nacinovich, Mauro Mostow’s fibration for canonical embeddings of compact homogeneous CR manifolds. (English) Zbl 1420.32026 Rend. Semin. Mat. Univ. Padova 140, 1-43 (2018). MSC: 32V30 32V25 32V35 53C30 PDFBibTeX XMLCite \textit{S. Marini} and \textit{M. Nacinovich}, Rend. Semin. Mat. Univ. Padova 140, 1--43 (2018; Zbl 1420.32026) Full Text: DOI arXiv
Bei, Francesco; Piazza, Paolo On the \(L^2\)-\(\overline{\partial}\)-cohomology of certain complete Kähler metrics. (English) Zbl 1414.58014 Math. Z. 290, No. 1-2, 521-537 (2018). Reviewer: Liwei Chen (Columbus) MSC: 58J10 32W05 PDFBibTeX XMLCite \textit{F. Bei} and \textit{P. Piazza}, Math. Z. 290, No. 1--2, 521--537 (2018; Zbl 1414.58014) Full Text: DOI arXiv
Demailly, Jean-Pierre Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties. (English) Zbl 1404.32036 Byun, Jisoo (ed.) et al., Geometric complex analysis. In honor of Kang-Tae Kim’s 60th birthday, Gyeongju, Korea, 2017. Selected papers based on the presentations at the 11th and 12th Korean conferences on several complex variables, KSCV 11 symposium and KSCV 12 symposium, July 4–8, 2016 and July 3–7, 2017. Singapore: Springer (ISBN 978-981-13-1671-5/hbk; 978-981-13-1672-2/ebook). Springer Proceedings in Mathematics & Statistics 246, 97-113 (2018). MSC: 32L10 32D15 32E05 PDFBibTeX XMLCite \textit{J.-P. Demailly}, Springer Proc. Math. Stat. 246, 97--113 (2018; Zbl 1404.32036) Full Text: DOI arXiv
Chakrabarti, Debraj; Laurent-Thiébaut, Christine; Shaw, Mei-Chi On the \(L^2\)-Dolbeault cohomology of annuli. (English) Zbl 1414.32015 Indiana Univ. Math. J. 67, No. 2, 831-857 (2018). Reviewer: Dariush Ehsani (Merseburg) MSC: 32C35 32C37 32W05 PDFBibTeX XMLCite \textit{D. Chakrabarti} et al., Indiana Univ. Math. J. 67, No. 2, 831--857 (2018; Zbl 1414.32015) Full Text: DOI arXiv
Yamada, Takumi Complex structures on the complexification of a real Lie algebra. (English) Zbl 1397.53067 Complex Manifolds 5, 150-157 (2018). MSC: 53C30 57T15 22E25 PDFBibTeX XMLCite \textit{T. Yamada}, Complex Manifolds 5, 150--157 (2018; Zbl 1397.53067) Full Text: DOI OA License
Puchol, Martin Holomorphic Morse inequalities for orbifolds. (English) Zbl 1400.32010 Math. Z. 289, No. 3-4, 1237-1260 (2018). MSC: 32L05 32L10 57R18 32W30 PDFBibTeX XMLCite \textit{M. Puchol}, Math. Z. 289, No. 3--4, 1237--1260 (2018; Zbl 1400.32010) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha; Vuletescu, Victor Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential. (English) Zbl 1390.32019 J. Math. Soc. Japan 70, No. 1, 409-422 (2018). Reviewer: László Stachó (Szeged) MSC: 32Q15 32L10 53C55 PDFBibTeX XMLCite \textit{L. Ornea} et al., J. Math. Soc. Japan 70, No. 1, 409--422 (2018; Zbl 1390.32019) Full Text: DOI arXiv
Angella, Daniele Hodge numbers of a hypothetical complex structure on \(S^{6}\). (English) Zbl 1387.32033 Differ. Geom. Appl. 57, 105-120 (2018). MSC: 32Q99 32-02 PDFBibTeX XMLCite \textit{D. Angella}, Differ. Geom. Appl. 57, 105--120 (2018; Zbl 1387.32033) Full Text: DOI arXiv
Felder, Giovanni; Kazhdan, David Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings. (English) Zbl 1405.32006 Int. Math. Res. Not. 2017, No. 19, 5897-5918 (2017). MSC: 32A27 32C30 32C35 32C36 30C35 PDFBibTeX XMLCite \textit{G. Felder} and \textit{D. Kazhdan}, Int. Math. Res. Not. 2017, No. 19, 5897--5918 (2017; Zbl 1405.32006) Full Text: DOI arXiv Link
Marini, Stefano; Nacinovich, Mauro Orbits of real forms, Matsuki duality and CR-cohomology. (English) Zbl 1391.32056 Angella, Daniele (ed.) et al., Complex and symplectic geometry. Based on the presentations at the INdAM meeting “Complex and symplectic geometry”, Cortona, Italy, June 12–18, 2016. Cham: Springer (ISBN 978-3-319-62913-1/hbk; 978-3-319-62914-8/ebook). Springer INdAM Series 21, 149-162 (2017). MSC: 32V30 32W05 32W10 32-02 PDFBibTeX XMLCite \textit{S. Marini} and \textit{M. Nacinovich}, Springer INdAM Ser. 21, 149--162 (2017; Zbl 1391.32056) Full Text: DOI arXiv
Angella, Daniele; Kasuya, Hisashi Cohomologies and deformations of solvmanifolds and closedness of some properties. (English) Zbl 1384.32018 North-West. Eur. J. Math. 3, 75-105 (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 32M10 32L10 32G05 PDFBibTeX XMLCite \textit{D. Angella} and \textit{H. Kasuya}, North-West. Eur. J. Math. 3, 75--105 (2017; Zbl 1384.32018) Full Text: arXiv Link
Angella, Daniele; Kasuya, Hisashi Bott-Chern cohomology of solvmanifolds. (English) Zbl 1384.22004 Ann. Global Anal. Geom. 52, No. 4, 363-411 (2017). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 22E25 53C30 57T15 53C55 53D05 PDFBibTeX XMLCite \textit{D. Angella} and \textit{H. Kasuya}, Ann. Global Anal. Geom. 52, No. 4, 363--411 (2017; Zbl 1384.22004) Full Text: DOI arXiv
Fu, Siqi; Laurent-Thiébaut, Christine; Shaw, Mei-Chi Hearing pseudoconvexity in Lipschitz domains with holes via \({\bar{\partial }}\). (English) Zbl 1390.32007 Math. Z. 287, No. 3-4, 1157-1181 (2017). Reviewer: Harold P. Boas (College Station) MSC: 32C35 32C37 32W05 PDFBibTeX XMLCite \textit{S. Fu} et al., Math. Z. 287, No. 3--4, 1157--1181 (2017; Zbl 1390.32007) Full Text: DOI arXiv
Yamada, Takumi Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds. (English) Zbl 1386.53055 Complex Manifolds 4, 73-83 (2017). MSC: 53C30 22E25 PDFBibTeX XMLCite \textit{T. Yamada}, Complex Manifolds 4, 73--83 (2017; Zbl 1386.53055) Full Text: DOI OA License
Kasuya, Hisashi Generalized deformations and holomorphic Poisson cohomology of solvmanifolds. (English) Zbl 1405.32013 Ann. Global Anal. Geom. 51, No. 2, 155-177 (2017). MSC: 32G05 17B30 32M10 53D18 58H15 PDFBibTeX XMLCite \textit{H. Kasuya}, Ann. Global Anal. Geom. 51, No. 2, 155--177 (2017; Zbl 1405.32013) Full Text: DOI arXiv
Ida, Cristian; Popescu, Paul \(\overline{\partial}\)-tangential invariants of certain vector bundles over complex foliations. (English) Zbl 1368.32024 J. Geom. Phys. 112, 210-223 (2017). Reviewer: Yunus E. Zeytuncu (Dearborn) MSC: 32W05 53C12 57R20 PDFBibTeX XMLCite \textit{C. Ida} and \textit{P. Popescu}, J. Geom. Phys. 112, 210--223 (2017; Zbl 1368.32024) Full Text: DOI
Yamada, Takumi Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds. (English) Zbl 1352.53045 Complex Manifolds 3, 271-281 (2016). MSC: 53C30 22E25 57T15 PDFBibTeX XMLCite \textit{T. Yamada}, Complex Manifolds 3, 271--281 (2016; Zbl 1352.53045) Full Text: DOI OA License
Console, S.; Fino, A.; Kasuya, H. On de Rham and Dolbeault cohomology of solvmanifolds. (English) Zbl 1352.22007 Transform. Groups 21, No. 3, 653-680 (2016). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 22E25 14F40 PDFBibTeX XMLCite \textit{S. Console} et al., Transform. Groups 21, No. 3, 653--680 (2016; Zbl 1352.22007) Full Text: DOI arXiv
Yamada, Takumi Hodge numbers and invariant complex structures of compact nilmanifolds. (English) Zbl 1342.53075 Complex Manifolds 3, 193-206 (2016). MSC: 53C30 22E25 57T15 53C56 PDFBibTeX XMLCite \textit{T. Yamada}, Complex Manifolds 3, 193--206 (2016; Zbl 1342.53075) Full Text: DOI OA License
Chen, Zhuo; Fino, Anna; Poon, Yat-Sun Holomorphic Poisson structure and its cohomology on nilmanifolds. (English) Zbl 1330.53109 Differ. Geom. Appl. 44, 144-160 (2016). MSC: 53D17 22E25 PDFBibTeX XMLCite \textit{Z. Chen} et al., Differ. Geom. Appl. 44, 144--160 (2016; Zbl 1330.53109) Full Text: DOI arXiv
Yamada, Takumi Duality of Hodge numbers of compact complex nilmanifolds. (English) Zbl 1333.53072 Complex Manifolds 2, 168-177 (2015). MSC: 53C30 22E25 58A14 PDFBibTeX XMLCite \textit{T. Yamada}, Complex Manifolds 2, 168--177 (2015; Zbl 1333.53072) Full Text: DOI OA License
Cattaneo, Andrea; Tomassini, Adriano Dolbeault-Massey triple products of low degree. (English) Zbl 1329.32013 J. Geom. Phys. 98, 300-311 (2015). Reviewer: Daniele Angella (Firenze) MSC: 32Q99 53C55 32C35 PDFBibTeX XMLCite \textit{A. Cattaneo} and \textit{A. Tomassini}, J. Geom. Phys. 98, 300--311 (2015; Zbl 1329.32013) Full Text: DOI
Chakrabarti, Debraj; Shaw, Mei-Chi The \(L^2\)-cohomology of a bounded smooth Stein domain is not necessarily Hausdorff. (English) Zbl 1329.32015 Math. Ann. 363, No. 3-4, 1001-1021 (2015). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32T05 32W05 PDFBibTeX XMLCite \textit{D. Chakrabarti} and \textit{M.-C. Shaw}, Math. Ann. 363, No. 3--4, 1001--1021 (2015; Zbl 1329.32015) Full Text: DOI arXiv
Ruppenthal, J. \(L^2\)-Serre duality on singular complex spaces and applications. (English) Zbl 1350.32035 Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceedings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 309-318 (2015). Reviewer: Dariush Ehsani (Merseburg) MSC: 32W05 32C35 32C36 32C37 32J25 PDFBibTeX XMLCite \textit{J. Ruppenthal}, Springer Proc. Math. Stat. 144, 309--318 (2015; Zbl 1350.32035) Full Text: DOI arXiv
Ohsawa, Takeo A remark on Hörmander’s isomorphism. (English) Zbl 1329.32004 Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceedings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 273-280 (2015). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32F10 32F99 32D15 PDFBibTeX XMLCite \textit{T. Ohsawa}, Springer Proc. Math. Stat. 144, 273--280 (2015; Zbl 1329.32004) Full Text: DOI
Chen, Zhuo; Grandini, Daniele; Poon, Yat-Sun Holomorphic Poisson cohomology. (English) Zbl 1323.32021 Complex Manifolds 2, 34-52 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 32Q99 32J27 32Q15 53D17 53D18 PDFBibTeX XMLCite \textit{Z. Chen} et al., Complex Manifolds 2, 34--52 (2015; Zbl 1323.32021) Full Text: DOI arXiv OA License
Ruppenthal, Jean; Sera, Martin \(L^2\)-Riemann-Roch for singular complex curves. (English) Zbl 1325.32038 J. Singul. 11, 67-84 (2015). Reviewer: Dariush Ehsani (Merseburg) MSC: 32W05 32C36 14C40 PDFBibTeX XMLCite \textit{J. Ruppenthal} and \textit{M. Sera}, J. Singul. 11, 67--84 (2015; Zbl 1325.32038) Full Text: DOI arXiv
Chan, Kwokwai; Suen, Yat-Hin A Frölicher-type inequality for generalized complex manifolds. (English) Zbl 1309.32007 Ann. Global Anal. Geom. 47, No. 2, 135-145 (2015). MSC: 32Q60 53D05 PDFBibTeX XMLCite \textit{K. Chan} and \textit{Y.-H. Suen}, Ann. Global Anal. Geom. 47, No. 2, 135--145 (2015; Zbl 1309.32007) Full Text: DOI arXiv
Lu, Wen The second coefficient of the asymptotic expansion of the Bergman kernel of the Hodge-Dolbeault operator. (English) Zbl 1308.32006 J. Geom. Anal. 25, No. 1, 25-63 (2015). MSC: 32A25 58J35 32L10 PDFBibTeX XMLCite \textit{W. Lu}, J. Geom. Anal. 25, No. 1, 25--63 (2015; Zbl 1308.32006) Full Text: DOI arXiv
Tomassini, Adriano; Torelli, Sara On Dolbeault formality and small deformations. (English) Zbl 1319.32018 Int. J. Math. 25, No. 11, Article ID 1450111, 9 p. (2014). Reviewer: Valentino Tosatti (Evanston) MSC: 32Q15 53C55 32C35 PDFBibTeX XMLCite \textit{A. Tomassini} and \textit{S. Torelli}, Int. J. Math. 25, No. 11, Article ID 1450111, 9 p. (2014; Zbl 1319.32018) Full Text: DOI
Kasuya, Hisashi de Rham and Dolbeault cohomology of solvmanifolds with local systems. (English) Zbl 1314.17010 Math. Res. Lett. 21, No. 4, 781-805 (2014). Reviewer: Viviana del Barco (Rosario) MSC: 17B56 22E25 32C35 58A12 PDFBibTeX XMLCite \textit{H. Kasuya}, Math. Res. Lett. 21, No. 4, 781--805 (2014; Zbl 1314.17010) Full Text: DOI arXiv
Barchini, L.; Somberg, Petr On the unitary globalization of cohomologically induced modules. (English) Zbl 1291.22015 J. Funct. Anal. 266, No. 6, 3840-3854 (2014). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22E46 22-06 PDFBibTeX XMLCite \textit{L. Barchini} and \textit{P. Somberg}, J. Funct. Anal. 266, No. 6, 3840--3854 (2014; Zbl 1291.22015) Full Text: DOI arXiv
Kasuya, Hisashi Hodge symmetry and decomposition on non-Kähler solvmanifolds. (English) Zbl 1279.22010 J. Geom. Phys. 76, 61-65 (2014). MSC: 22E25 53C30 53C55 PDFBibTeX XMLCite \textit{H. Kasuya}, J. Geom. Phys. 76, 61--65 (2014; Zbl 1279.22010) Full Text: DOI arXiv
Baran, Andrei Topologies on cohomological invariants with supports. (English) Zbl 1389.32019 Math. Rep., Buchar. 15(65), No. 4, 331-342 (2013). MSC: 32C35 32C37 46A04 46A13 PDFBibTeX XMLCite \textit{A. Baran}, Math. Rep., Buchar. 15(65), No. 4, 331--342 (2013; Zbl 1389.32019)
Angella, Daniele The cohomologies of the Iwasawa manifold and of its small deformations. (English) Zbl 1278.32013 J. Geom. Anal. 23, No. 3, 1355-1378 (2013). Reviewer: Cenap Özel (Bolu) MSC: 32M10 32J27 57T15 53C15 32G05 PDFBibTeX XMLCite \textit{D. Angella}, J. Geom. Anal. 23, No. 3, 1355--1378 (2013; Zbl 1278.32013) Full Text: DOI arXiv Link
Laurent-Thiébaut, Christine; Shaw, Mei-Chi On the Hausdorff property of some Dolbeault cohomology groups. (English) Zbl 1423.32013 Math. Z. 274, No. 3-4, 1165-1176 (2013). MSC: 32C35 32C37 PDFBibTeX XMLCite \textit{C. Laurent-Thiébaut} and \textit{M.-C. Shaw}, Math. Z. 274, No. 3--4, 1165--1176 (2013; Zbl 1423.32013) Full Text: DOI arXiv
Angella, Daniele; Calamai, Simone Bott-Chern cohomology and \(q\)-complete domains. (Cohomologie de Bott-Chern et domaines \(q\)-complets.) (English. French summary) Zbl 1276.32007 C. R., Math., Acad. Sci. Paris 351, No. 9-10, 343-348 (2013). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 32C35 32L20 32C38 32E10 PDFBibTeX XMLCite \textit{D. Angella} and \textit{S. Calamai}, C. R., Math., Acad. Sci. Paris 351, No. 9--10, 343--348 (2013; Zbl 1276.32007) Full Text: DOI arXiv
Abate, Marco; Bracci, Filippo; Suwa, Tatsuo; Tovena, Francesca Localization of Atiyah classes. (English) Zbl 1278.14006 Rev. Mat. Iberoam. 29, No. 2, 547-578 (2013). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14C17 32L20 32A27 32S65 37F75 53C05 57R20 58A30 PDFBibTeX XMLCite \textit{M. Abate} et al., Rev. Mat. Iberoam. 29, No. 2, 547--578 (2013; Zbl 1278.14006) Full Text: DOI arXiv
Kasuya, Hisashi Techniques of computations of Dolbeault cohomology of solvmanifolds. (English) Zbl 1261.22009 Math. Z. 273, No. 1-2, 437-447 (2013). Reviewer: Sergio Console (Torino) MSC: 22E25 53C30 53C55 PDFBibTeX XMLCite \textit{H. Kasuya}, Math. Z. 273, No. 1--2, 437--447 (2013; Zbl 1261.22009) Full Text: DOI arXiv
Ida, C. Dolbeault cohomology along the vertical Liouville distribution on complex Finsler bundles. (English) Zbl 1261.53074 Commun. Math. Anal. 12, No. 2, 71-84 (2012). MSC: 53C60 53C12 32C35 PDFBibTeX XMLCite \textit{C. Ida}, Commun. Math. Anal. 12, No. 2, 71--84 (2012; Zbl 1261.53074) Full Text: Euclid
Panov, Taras; Ustinovsky, Yuri Complex-analytic structures on moment-angle manifolds. (English) Zbl 1257.32019 Mosc. Math. J. 12, No. 1, 149-172 (2012). MSC: 32J18 32L05 32Q55 57R19 14M25 PDFBibTeX XMLCite \textit{T. Panov} and \textit{Y. Ustinovsky}, Mosc. Math. J. 12, No. 1, 149--172 (2012; Zbl 1257.32019) Full Text: arXiv Link
Lescure, François Hochschild-Serre statement for the total cohomology. (English) Zbl 1248.32010 Proyecciones 31, No. 2, 165-168 (2012). MSC: 32M05 32M25 PDFBibTeX XMLCite \textit{F. Lescure}, Proyecciones 31, No. 2, 165--168 (2012; Zbl 1248.32010) Full Text: DOI
Gindikin, Simon Helgason’s conjecture in complex analytical interior. (English) Zbl 1250.22012 Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 87-95 (2012). Reviewer: Andrew Bucki (Edmond) MSC: 22E30 22E46 32A45 44A12 PDFBibTeX XMLCite \textit{S. Gindikin}, in: Representation theory, complex analysis, and integral geometry. Outgrowth of the special term ``Harmonic analysis, representation theory, and integral geometry'' held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser. 87--95 (2012; Zbl 1250.22012) Full Text: DOI
Shestakov, Ivan V. Explicit Carleman formulas for the Dolbeault cohomology in concave domains. (Russian. English summary) Zbl 1521.32040 J. Sib. Fed. Univ., Math. Phys. 4, No. 3, 406-416 (2011). MSC: 32W05 35G10 32D15 46J20 58J10 PDFBibTeX XMLCite \textit{I. V. Shestakov}, J. Sib. Fed. Univ., Math. Phys. 4, No. 3, 406--416 (2011; Zbl 1521.32040) Full Text: MNR
Ida, Cristian A note on the relative cohomology of complex manifolds. (English) Zbl 1349.32008 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 56(70), No. 2, 23-29 (2011). MSC: 32C15 32C35 PDFBibTeX XMLCite \textit{C. Ida}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 56(70), No. 2, 23--29 (2011; Zbl 1349.32008)
Rollenske, Sönke Dolbeault cohomology of nilmanifolds with left-invariant complex structure. (English) Zbl 1266.53066 Ebeling, Wolfgang (ed.) et al., Complex and differential geometry. Conference held at Leibniz Universität Hannover, Germany, September 14–18, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-20299-5/hbk; 978-3-642-20300-8/ebook). Springer Proceedings in Mathematics 8, 369-392 (2011). MSC: 53C56 22E25 32G05 17B56 53C30 PDFBibTeX XMLCite \textit{S. Rollenske}, Springer Proc. Math. 8, 369--392 (2011; Zbl 1266.53066) Full Text: DOI arXiv
Fu, Jixiang; Yau, Shing-Tung A note on small deformations of balanced manifolds. (English) Zbl 1231.53025 C. R., Math., Acad. Sci. Paris 349, No. 13-14, 793-796 (2011). Reviewer: Neda Bokan (Beograd) MSC: 53C07 53C55 32Q15 PDFBibTeX XMLCite \textit{J. Fu} and \textit{S.-T. Yau}, C. R., Math., Acad. Sci. Paris 349, No. 13--14, 793--796 (2011; Zbl 1231.53025) Full Text: DOI arXiv Link
Calaque, Damien; Rossi, Carlo A. Lectures on Duflo isomorphisms in Lie algebra and complex geometry. (English) Zbl 1220.53006 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-096-8/pbk). viii, 106 p. (2011). Reviewer: Benjamin Cahen (Metz) MSC: 53-02 53D55 17B55 PDFBibTeX XMLCite \textit{D. Calaque} and \textit{C. A. Rossi}, Lectures on Duflo isomorphisms in Lie algebra and complex geometry. Zürich: European Mathematical Society (EMS) (2011; Zbl 1220.53006) Full Text: DOI Link Backlinks: MO
Koziarz, Vincent Extensions with estimates of cohomology classes. (English) Zbl 1209.32009 Manuscr. Math. 134, No. 1-2, 43-58 (2011). Reviewer: Marek Jarnicki (Kraków) MSC: 32L10 32D15 32J25 PDFBibTeX XMLCite \textit{V. Koziarz}, Manuscr. Math. 134, No. 1--2, 43--58 (2011; Zbl 1209.32009) Full Text: DOI arXiv
Ul’vert, Ol’ga S. On the integrals over two-dimensional compact complex toric varieties. (Russian. English summary) Zbl 1521.14089 J. Sib. Fed. Univ., Math. Phys. 3, No. 4, 544-555 (2010). MSC: 14M25 32C30 55N05 PDFBibTeX XMLCite \textit{O. S. Ul'vert}, J. Sib. Fed. Univ., Math. Phys. 3, No. 4, 544--555 (2010; Zbl 1521.14089) Full Text: MNR
Wade, Aïssa Transverse geometry and generalized complex structures. (English) Zbl 1241.53024 Afr. Diaspora J. Math. 9, No. 2, 139-149 (2010). MSC: 53C12 32Q15 32V99 PDFBibTeX XMLCite \textit{A. Wade}, Afr. Diaspora J. Math. 9, No. 2, 139--149 (2010; Zbl 1241.53024) Full Text: Euclid
Demailly, Jean-Pierre Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann. (English. French summary) Zbl 1205.32017 Milan J. Math. 78, 265-277 (2010). MSC: 32L10 14B05 14C17 PDFBibTeX XMLCite \textit{J.-P. Demailly}, Milan J. Math. 78, No. 1, 265--277 (2010; Zbl 1205.32017) Full Text: DOI arXiv HAL
Zhang, Ning The Picard group of the loop space of the Riemann sphere. (English) Zbl 1208.58012 Int. J. Math. 21, No. 11, 1387-1399 (2010). MSC: 58D15 58B12 46G20 PDFBibTeX XMLCite \textit{N. Zhang}, Int. J. Math. 21, No. 11, 1387--1399 (2010; Zbl 1208.58012) Full Text: DOI arXiv
Fu, Siqi; Jacobowitz, Howard The \(\overline\partial\)-cohomology groups, holomorphic Morse inequalities, and finite type conditions. (English) Zbl 1214.32016 Pure Appl. Math. Q. 6, No. 3, 875-914 (2010). Reviewer: Jean Ruppenthal (Wuppertal) MSC: 32W05 32L10 PDFBibTeX XMLCite \textit{S. Fu} and \textit{H. Jacobowitz}, Pure Appl. Math. Q. 6, No. 3, 875--914 (2010; Zbl 1214.32016) Full Text: DOI arXiv
Laytimi, F.; Nagaraj, D. S. Vanishing theorems for vector bundles generated by sections. (English) Zbl 1205.32018 Kyoto J. Math. 50, No. 3, 469-479 (2010). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32L20 PDFBibTeX XMLCite \textit{F. Laytimi} and \textit{D. S. Nagaraj}, Kyoto J. Math. 50, No. 3, 469--479 (2010; Zbl 1205.32018) Full Text: DOI
Fu, Siqi Positivity of the \(\overline\partial\)-Neumann Laplacian. (English) Zbl 1209.32022 Ebenfelt, Peter (ed.) et al., Complex analysis. Several complex variables and connections with PDE theory and geometry. Proceedings of the conference in honour of Linda Rothschild, Fribourg, Switzerland, July 7–11, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0008-8/hbk). Trends in Mathematics, 145-158 (2010). Reviewer: Hong Rae Cho (Busan) MSC: 32W05 32Q28 PDFBibTeX XMLCite \textit{S. Fu}, in: Complex analysis. Several complex variables and connections with PDE theory and geometry. Proceedings of the conference in honour of Linda Rothschild, Fribourg, Switzerland, July 7--11, 2008. Basel: Birkhäuser. 145--158 (2010; Zbl 1209.32022) Full Text: arXiv
El Kacimi Alaoui, Aziz; Slimène, Jihène Leafwise Dolbeault cohomology of certain complex foliations. (Cohomologie de Dolbeault le long des feuilles de certains feuilletages complexes.) (French. English summary) Zbl 1225.32041 Ann. Inst. Fourier 60, No. 2, 727-757 (2010). Reviewer: Sorin Dumitrescu (Nice) MSC: 32W05 PDFBibTeX XMLCite \textit{A. El Kacimi Alaoui} and \textit{J. Slimène}, Ann. Inst. Fourier 60, No. 2, 727--757 (2010; Zbl 1225.32041) Full Text: DOI EuDML
Patyi, Imre On the annihilator of a Dolbeault group. (English) Zbl 1201.46041 Int. J. Math. 21, No. 3, 317-331 (2010). Reviewer: Eugen Pascu (Montréal) MSC: 46G20 46E50 58B12 32C35 32Q28 32K05 32E99 32L10 PDFBibTeX XMLCite \textit{I. Patyi}, Int. J. Math. 21, No. 3, 317--331 (2010; Zbl 1201.46041) Full Text: DOI arXiv
Kapustin, Anton; Saulina, Natalia The algebra of Wilson-’t Hooft operators. (English) Zbl 1194.81160 Nucl. Phys., B 814, No. 1-2, 327-365 (2009). MSC: 81T13 81T60 81T45 14N35 14M15 PDFBibTeX XMLCite \textit{A. Kapustin} and \textit{N. Saulina}, Nucl. Phys., B 814, No. 1--2, 327--365 (2009; Zbl 1194.81160) Full Text: DOI arXiv
Suwa, Tatsuo Čech-Dolbeault cohomology and the \(\overline\partial\)-Thom class. (English) Zbl 1195.14026 Brasselet, Jean-Paul (ed.) et al., Singularities, Niigata–Toyama 2007. Proceedings of the 4th Franco-Japanese symposium, Niigata, Toyama, Japan, August 27–31, 2007. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-55-6/hbk). Advanced Studies in Pure Mathematics 56, 321-340 (2009). Reviewer: Alexandru Dimca (Nice) MSC: 14F40 57R20 58A12 PDFBibTeX XMLCite \textit{T. Suwa}, Adv. Stud. Pure Math. 56, 321--340 (2009; Zbl 1195.14026)
Colţoiu, M.; Ruppenthal, J. On Hartogs’ extension theorem on \((n-1)\)-complete complex spaces. (English) Zbl 1186.32001 J. Reine Angew. Math. 637, 41-47 (2009). Reviewer: Vasily A. Chernecky (Odessa) MSC: 32-02 32D15 PDFBibTeX XMLCite \textit{M. Colţoiu} and \textit{J. Ruppenthal}, J. Reine Angew. Math. 637, 41--47 (2009; Zbl 1186.32001) Full Text: DOI arXiv
Brion, Michel Vanishing theorems for Dolbeault cohomology of log homogeneous varieties. (English) Zbl 1195.14024 Tohoku Math. J. (2) 61, No. 3, 365-392 (2009). Reviewer: Jörg Winkelmann (Bochum) MSC: 14F17 14M17 PDFBibTeX XMLCite \textit{M. Brion}, Tôhoku Math. J. (2) 61, No. 3, 365--392 (2009; Zbl 1195.14024) Full Text: DOI arXiv
Cavalcanti, Gil R. Computations of generalized Dolbeault cohomology. (English) Zbl 1179.53074 de Andrés, Luis Carlos (ed.) et al., Special metrics and supersymmetry. Lectures given in the workshop on geometry and physics: special metrics and supersymmetry, Bilbao, Spain, 29–31 May 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0626-1/pbk). AIP Conference Proceedings 1093, 57-69 (2009). MSC: 53C56 32Q55 53D35 PDFBibTeX XMLCite \textit{G. R. Cavalcanti}, AIP Conf. Proc. 1093, 57--69 (2009; Zbl 1179.53074) Full Text: DOI
Ruppenthal, J. The Dolbeault complex with weights according to normal crossings. (English) Zbl 1189.32019 Math. Z. 263, No. 2, 425-445 (2009). Reviewer: Anne Frühbis-Krüger (Hannover) MSC: 32S45 32A10 32C35 32C36 PDFBibTeX XMLCite \textit{J. Ruppenthal}, Math. Z. 263, No. 2, 425--445 (2009; Zbl 1189.32019) Full Text: DOI arXiv
Jardim, Marcos; Leão, Rafael F. On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds. (English) Zbl 1173.58012 Differ. Geom. Appl. 27, No. 3, 412-419 (2009). Reviewer: Salah Mehdi (Metz) MSC: 58J50 58C40 32L10 PDFBibTeX XMLCite \textit{M. Jardim} and \textit{R. F. Leão}, Differ. Geom. Appl. 27, No. 3, 412--419 (2009; Zbl 1173.58012) Full Text: DOI arXiv