Kotschick, D.; Placini, G. Sasaki structures distinguished by their basic Hodge numbers. (English) Zbl 07738397 Bull. Lond. Math. Soc. 54, No. 5, 1962-1977 (2022). MSC: 53C25 58A14 PDFBibTeX XMLCite \textit{D. Kotschick} and \textit{G. Placini}, Bull. Lond. Math. Soc. 54, No. 5, 1962--1977 (2022; Zbl 07738397) Full Text: DOI arXiv OA License
Cirici, Joana; Wilson, Scott O. Hodge-de Rham numbers of almost complex 4-manifolds. (English) Zbl 07629344 Expo. Math. 40, No. 4, 1244-1260 (2022). MSC: 32Q60 53C15 PDFBibTeX XMLCite \textit{J. Cirici} and \textit{S. O. Wilson}, Expo. Math. 40, No. 4, 1244--1260 (2022; Zbl 07629344) Full Text: DOI arXiv
de Cataldo, Mark Andrea A.; Rapagnetta, Antonio; Saccà, Giulia The Hodge numbers of O’Grady 10 via Ngô strings. (English. French summary) Zbl 1483.14071 J. Math. Pures Appl. (9) 156, 125-178 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 14J40 14F40 14F45 14J42 53C55 PDFBibTeX XMLCite \textit{M. A. A. de Cataldo} et al., J. Math. Pures Appl. (9) 156, 125--178 (2021; Zbl 1483.14071) Full Text: DOI arXiv
Mathai, Varghese; Rosenberg, Jonathan The Riemann-Roch theorem on higher dimensional complex noncommutative tori. (English) Zbl 1454.46076 J. Geom. Phys. 147, Article ID 103534, 9 p. (2020). MSC: 46L87 19L10 58B34 58J42 53C55 57R20 14K20 PDFBibTeX XMLCite \textit{V. Mathai} and \textit{J. Rosenberg}, J. Geom. Phys. 147, Article ID 103534, 9 p. (2020; Zbl 1454.46076) 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
Tan, Qiang; Wang, Hongyu; Zhou, Jiuru Symplectic parabolicity and \(L^2\) symplectic harmonic forms. (English) Zbl 1415.53068 Q. J. Math. 70, No. 1, 147-169 (2019). Reviewer: Akira Asada (Takarazuka) MSC: 53D35 53C21 53C23 57R20 58J10 PDFBibTeX XMLCite \textit{Q. Tan} et al., Q. J. Math. 70, No. 1, 147--169 (2019; Zbl 1415.53068) Full Text: DOI arXiv
Kotschick, Dieter Geometric formality and non-negative scalar curvature. (English) Zbl 1404.53060 Pure Appl. Math. Q. 13, No. 3, 437-451 (2018). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C25 53C43 57M50 57R17 57R57 58A14 PDFBibTeX XMLCite \textit{D. Kotschick}, Pure Appl. Math. Q. 13, No. 3, 437--451 (2018; Zbl 1404.53060) Full Text: DOI arXiv
Lunts, Valery; Przyjalkowski, Victor Landau-Ginzburg Hodge numbers for mirrors of del Pezzo surfaces. (English) Zbl 1393.53087 Adv. Math. 329, 189-216 (2018). MSC: 53D37 14J33 58A14 PDFBibTeX XMLCite \textit{V. Lunts} and \textit{V. Przyjalkowski}, Adv. Math. 329, 189--216 (2018; Zbl 1393.53087) Full Text: DOI arXiv
Constantin, Andrei; Gray, James; Lukas, Andre Hodge numbers for all CICY quotients. (English) Zbl 1373.14038 J. High Energy Phys. 2017, No. 1, Paper No. 1, 35 p. (2017). MSC: 14J32 83E30 58A14 53Z05 PDFBibTeX XMLCite \textit{A. Constantin} et al., J. High Energy Phys. 2017, No. 1, Paper No. 1, 35 p. (2017; Zbl 1373.14038) Full Text: DOI arXiv
McHugh, Andrew Patrick Narrowing cohomology for complex \(S^6\). (English) Zbl 1366.53053 Eur. J. Pure Appl. Math. 10, No. 3, 440-454 (2017). MSC: 53C56 55N99 32Q99 PDFBibTeX XMLCite \textit{A. P. McHugh}, Eur. J. Pure Appl. Math. 10, No. 3, 440--454 (2017; Zbl 1366.53053) Full Text: Link
Goertsches, Oliver; Nozawa, Hiraku; Töben, Dirk Rigidity and vanishing of basic Dolbeault cohomology of Sasakian manifolds. (English) Zbl 1346.53049 J. Symplectic Geom. 14, No. 1, 31-70 (2016). MSC: 53C25 PDFBibTeX XMLCite \textit{O. Goertsches} et al., J. Symplectic Geom. 14, No. 1, 31--70 (2016; Zbl 1346.53049) Full Text: DOI arXiv
Kurnosov, Nikon An inequality for Betti numbers of hyper-Kähler manifolds of dimension 6. (English. Russian original) Zbl 1343.53042 Math. Notes 99, No. 2, 330-334 (2016); translation from Mat. Zametki 99, No. 2, 309-313 (2016). Reviewer: James Pascaleff (Urbana) MSC: 53C26 PDFBibTeX XMLCite \textit{N. Kurnosov}, Math. Notes 99, No. 2, 330--334 (2016; Zbl 1343.53042); translation from Mat. Zametki 99, No. 2, 309--313 (2016) Full Text: DOI
Ida, Cristian; Popescu, Paul Coeffective basic cohomologies of \(K\)-contact and Sasakian manifolds. (English) Zbl 1354.58001 Mich. Math. J. 64, No. 4, 797-817 (2015). Reviewer: Jan Kurek (Lublin) MSC: 58A12 53D15 58A14 57R18 PDFBibTeX XMLCite \textit{C. Ida} and \textit{P. Popescu}, Mich. Math. J. 64, No. 4, 797--817 (2015; Zbl 1354.58001) Full Text: DOI arXiv
Macrì, Maura Cohomological properties of unimodular six dimensional solvable Lie algebras. (English) Zbl 1263.53045 Differ. Geom. Appl. 31, No. 1, 112-129 (2013). Reviewer: Viviana del Barco (Rosario) MSC: 53C30 17B30 53D35 53D05 PDFBibTeX XMLCite \textit{M. Macrì}, Differ. Geom. Appl. 31, No. 1, 112--129 (2013; Zbl 1263.53045) Full Text: DOI arXiv
Kotschick, D. Updates on Hirzebruch’s 1954 Problem List. arXiv:1305.4623 Preprint, arXiv:1305.4623 [math.HO] (2013). MSC: 14J29 32C99 53C10 53C55 53D10 55N22 57R20 57R40 58A14 58A17 BibTeX Cite \textit{D. Kotschick}, ``Updates on Hirzebruch's 1954 Problem List'', Preprint, arXiv:1305.4623 [math.HO] (2013) Full Text: arXiv OA License
Pilca, Mihaela On formal Riemannian metrics. (English) Zbl 1289.58001 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 20, No. 2, 131-144 (2012). MSC: 58A14 55P62 53C99 58A10 PDFBibTeX XMLCite \textit{M. Pilca}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 20, No. 2, 131--144 (2012; Zbl 1289.58001)
Ornea, Liviu; Pilca, Mihaela Remarks on the product of harmonic forms. (English) Zbl 1232.53033 Pac. J. Math. 250, No. 2, 353-363 (2011). Reviewer: Mirjana Djoric (Belgrade) MSC: 53C20 58A14 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Pilca}, Pac. J. Math. 250, No. 2, 353--363 (2011; Zbl 1232.53033) Full Text: DOI arXiv
Bracken, Paul Some results concerning twisted differentials and homology properties of twisted Laplacians. (English) Zbl 1228.53048 Tensor, New Ser. 72, No. 1, 47-55 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C21 58A14 PDFBibTeX XMLCite \textit{P. Bracken}, Tensor, New Ser. 72, No. 1, 47--55 (2010; Zbl 1228.53048)
Brown, J. R. Properties of a hypothetical exotic complex structure on \(\mathbb C\mathbb P^3\). (English) Zbl 1174.53345 Math. Bohem. 132, No. 1, 59-74 (2007). MSC: 53C56 53C15 58J20 55T99 PDFBibTeX XMLCite \textit{J. R. Brown}, Math. Bohem. 132, No. 1, 59--74 (2007; Zbl 1174.53345) Full Text: EuDML EMIS
Svensson, Martin Harmonic morphisms in Hermitian geometry. (English) Zbl 1060.53074 J. Reine Angew. Math. 575, 45-68 (2004). Reviewer: Vladimir Balan (Bucureşti) MSC: 53C55 53C43 PDFBibTeX XMLCite \textit{M. Svensson}, J. Reine Angew. Math. 575, 45--68 (2004; Zbl 1060.53074) Full Text: DOI
Tian, Gang; Zhou, Jian Quadratic recursion relations of Hodge intervals via localization. (English) Zbl 1034.53093 Acta Math. Sin., Engl. Ser. 19, No. 2, 209-232 (2003). Reviewer: Noriko Yui (Kingston/Ontario) MSC: 53D45 14J32 14N35 PDFBibTeX XMLCite \textit{G. Tian} and \textit{J. Zhou}, Acta Math. Sin., Engl. Ser. 19, No. 2, 209--232 (2003; Zbl 1034.53093) Full Text: DOI
Bryan, Jim; Donagi, Ron; Leung, Naichung Conan \(G\)-bundles on abelian surfaces, hyperkähler manifolds, and stringy Hodge numbers. (English) Zbl 0983.14023 Turk. J. Math. 25, No. 1, 195-236 (2001). Reviewer: Min Ho Lee (Cedar Falls) MSC: 14K10 53B35 14C30 14L30 PDFBibTeX XMLCite \textit{J. Bryan} et al., Turk. J. Math. 25, No. 1, 195--236 (2001; Zbl 0983.14023) Full Text: arXiv
Gilkey, Peter B. The Atiyah-Singer index theorem. (English) Zbl 0960.53002 Dillen, Franki J. E. (ed.) et al., Handbook of differential geometry. Volume I. Amsterdam: North-Holland. 709-746 (2000). Reviewer: Akira Asada (Takarazuka) MSC: 53-02 58J20 58J10 58J28 53C27 58J50 57R20 53D40 PDFBibTeX XMLCite \textit{P. B. Gilkey}, in: Handbook of differential geometry. Vol. I. Amsterdam: North-Holland. 709--746 (2000; Zbl 0960.53002)
Ugarte, Luis Hodge numbers of a hypothetical complex structure on the six sphere. (English) Zbl 0996.53046 Geom. Dedicata 81, No. 1-3, 173-179 (2000). Reviewer: A.P.Stone (Albuquerque) MSC: 53C56 55T99 53C15 PDFBibTeX XMLCite \textit{L. Ugarte}, Geom. Dedicata 81, No. 1--3, 173--179 (2000; Zbl 0996.53046) Full Text: DOI
Wu, Siye; Zhang, Weiping Equivariant holomorphic Morse inequalities. III: Non-isolated fixed points. (English) Zbl 0926.58006 Geom. Funct. Anal. 8, No. 1, 149-178 (1998). Reviewer: Sebastian Goette (Orsay) MSC: 58E05 58J35 32J27 53D50 PDFBibTeX XMLCite \textit{S. Wu} and \textit{W. Zhang}, Geom. Funct. Anal. 8, No. 1, 149--178 (1998; Zbl 0926.58006) Full Text: DOI arXiv
Kim, Hong-Jong Cohomology of flat vector bundles. (English) Zbl 0954.57010 Commun. Korean Math. Soc. 11, No. 2, 391-405 (1996). Reviewer: N.Papaghiuc (Iaşi) MSC: 57R22 55N20 53C05 57R70 58A14 58E05 PDFBibTeX XMLCite \textit{H.-J. Kim}, Commun. Korean Math. Soc. 11, No. 2, 391--405 (1996; Zbl 0954.57010)
Greene, B. B.; Morrison, D. R.; Strominger, A. Black hole condensation and the unification of string vacua. (English) Zbl 0908.53041 Nucl. Phys., B 451, No. 1-2, 109-120 (1995). MSC: 53Z05 83C55 81T30 PDFBibTeX XMLCite \textit{B. B. Greene} et al., Nucl. Phys., B 451, No. 1--2, 109--120 (1995; Zbl 0908.53041) Full Text: DOI arXiv
Candelas, P.; de la Ossa, X.; Katz, S. Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory. (English) Zbl 0896.14023 Nucl. Phys., B 450, No. 1-2, 267-290 (1995). MSC: 14J32 53Z05 14N05 PDFBibTeX XMLCite \textit{P. Candelas} et al., Nucl. Phys., B 450, No. 1--2, 267--290 (1995; Zbl 0896.14023) Full Text: DOI arXiv
Klyachko, Alexander A. Spatial polygons and stable configurations of points in the projective line. (English) Zbl 0820.51016 Tikhomirov, Alexander (ed.) et al., Algebraic geometry and its applications. Proceedings of the 8th algebraic geometry conference, Yaroslavl’, Russia, August 10-14, 1992. Braunschweig: Vieweg. Aspects Math. E 25, 67-84 (1994). Reviewer: M.J.Falk (Madison) MSC: 51M20 51A20 14F25 53B35 14H50 PDFBibTeX XMLCite \textit{A. A. Klyachko}, in: Algebraic geometry and its applications. Proceedings of the 8th algebraic geometry conference, Yaroslavl', Russia, August 10-14, 1992. Braunschweig: Vieweg. 67--84 (1994; Zbl 0820.51016)
Zaslow, Eric Topological orbifold models and quantum cohomology rings. (English) Zbl 0795.53074 Commun. Math. Phys. 156, No. 2, 301-331 (1993). Reviewer: V.Balan (Bucureşti) MSC: 53Z05 81T70 PDFBibTeX XMLCite \textit{E. Zaslow}, Commun. Math. Phys. 156, No. 2, 301--331 (1993; Zbl 0795.53074) Full Text: DOI arXiv
Stern, Mark Index theory for certain complete Kähler manifolds. (English) Zbl 0795.53063 J. Differ. Geom. 37, No. 3, 467-503 (1993). Reviewer: N.Bokan (Beograd) MSC: 53C55 57R20 58J20 PDFBibTeX XMLCite \textit{M. Stern}, J. Differ. Geom. 37, No. 3, 467--503 (1993; Zbl 0795.53063) Full Text: DOI
Esnault, Hélène; Srinivas, V. Chern classes of vector bundles with holomorphic connections on a complete smooth complex variety. (English) Zbl 0728.14016 J. Differ. Geom. (to appear). Reviewer: H.Esnault (Essen) MSC: 14F99 14C35 53C07 57R20 PDFBibTeX XML
Esnault, Hélène; Srinivas, V. Chern classes of vector bundles with holomorphic connections on a complete smooth complex variety. (English) Zbl 0757.14008 J. Differ. Geom. 36, No. 2, 257-268 (1992). MSC: 14F05 14C35 53C07 57R20 PDFBibTeX XMLCite \textit{H. Esnault} and \textit{V. Srinivas}, J. Differ. Geom. 36, No. 2, 257--268 (1992; Zbl 0757.14008) Full Text: DOI
He, Anming; Candelas, Philip On the number of complete intersection Calabi-Yau manifolds. (English) Zbl 0722.53061 Commun. Math. Phys. 135, No. 1, 193-199 (1990). MSC: 53C55 14M10 53C80 57R20 PDFBibTeX XMLCite \textit{A. He} and \textit{P. Candelas}, Commun. Math. Phys. 135, No. 1, 193--199 (1990; Zbl 0722.53061) Full Text: DOI
Dragomir, Sorin; Grimaldi, Renata On the topology of Riemann spaces of quasi-constant curvature. (English) Zbl 0703.53032 Publ. Inst. Math., Nouv. Sér. 46(60), 183-187 (1989). Reviewer: V.Boju MSC: 53C20 53C40 58A10 58A14 PDFBibTeX XMLCite \textit{S. Dragomir} and \textit{R. Grimaldi}, Publ. Inst. Math., Nouv. Sér. 46(60), 183--187 (1989; Zbl 0703.53032) Full Text: EuDML
Green, Paul S.; Hübsch, Tristan; Lütken, Carsten A. All the Hodge numbers for all Calabi-Yau complete intersections. (English) Zbl 0657.53063 Classical Quantum Gravity 6, No. 2, 105-124 (1989). MSC: 53C80 32Q99 81T60 PDFBibTeX XMLCite \textit{P. S. Green} et al., Classical Quantum Gravity 6, No. 2, 105--124 (1989; Zbl 0657.53063) Full Text: DOI Link
Zucker, Steven The Cheeger-Simons invariant as a Chern class. (English) Zbl 0790.14013 Algebraic analysis, geometry, and number theory, Proc. JAMI Inaugur. Conf., Baltimore/MD (USA) 1988, 397-417 (1989). Reviewer: W.W.J.Hulsbergen (Breda) MSC: 14F40 55N10 57R20 14C30 53C55 53C05 PDFBibTeX XMLCite \textit{S. Zucker}, in: Algebraic analysis, geometry, and number theory: proceedings of the JAMI inaugural conference, held at Baltimore, MD, USA, May 16-19, 1988. Baltimore: Johns Hopkins University Press. 397--417 (1989; Zbl 0790.14013)
Gallot, S.; Meyer, D. D’un résultat Hilbertien à un principe de comparaison entre spectres. Applications. (On a Hilbert type result on a comparison principle between spectra. Applications). (French) Zbl 0722.53037 Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 561-591 (1988). Reviewer: X.-P.Wang (Nantes) MSC: 53C20 58J50 PDFBibTeX XMLCite \textit{S. Gallot} and \textit{D. Meyer}, Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 561--591 (1988; Zbl 0722.53037) Full Text: DOI Numdam EuDML
Gallot, S.; Meyer, D. D’un résultat Hilbertien à un principe de comparaison entre spectres. Applications. (On a result of Hilbert concerning a comparison principle between spectra. Applications). (French) Zbl 0673.58045 Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 561-591 (1988). Reviewer: M.Craioveanu MSC: 58J50 53C20 PDFBibTeX XMLCite \textit{S. Gallot} and \textit{D. Meyer}, Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 561--591 (1988; Zbl 0673.58045) Full Text: DOI Numdam EuDML
Simpson, Carlos T. Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization. (English) Zbl 0669.58008 J. Am. Math. Soc. 1, No. 4, 867-918 (1988). Reviewer: J.Szilasi MSC: 58E15 14F05 53C05 32M15 PDFBibTeX XMLCite \textit{C. T. Simpson}, J. Am. Math. Soc. 1, No. 4, 867--918 (1988; Zbl 0669.58008) Full Text: DOI
Anderson, Michael T. L 2 harmonic forms on complete Riemannian manifolds. (English) Zbl 0652.53030 Proc. 21st. Int. Taniguchi Symp., Katata/Japan, Conf., Kyoto/Japan 1987, Lect. Notes Math. 1339, 1-19 (1988). Reviewer: G.Tsagas MSC: 53C20 58E20 58J60 PDFBibTeX XML
Karp, Leon Holomorphic vector fields on complex manifolds. (English) Zbl 0641.32017 Mich. Math. J. 34, 31-38 (1987). Reviewer: H.Hecht MSC: 32J99 32L05 32M05 53C55 PDFBibTeX XMLCite \textit{L. Karp}, Mich. Math. J. 34, 31--38 (1987; Zbl 0641.32017) Full Text: DOI
Green, Paul; Hübsch, Tristan Polynomial deformations and cohomology of Calabi-Yau manifolds. (English) Zbl 0633.53089 Commun. Math. Phys. 113, 505-528 (1987). Reviewer: B.N.Apanasov MSC: 53C55 32Q99 PDFBibTeX XMLCite \textit{P. Green} and \textit{T. Hübsch}, Commun. Math. Phys. 113, 505--528 (1987; Zbl 0633.53089) Full Text: DOI
Henniart, Guy [Witten, E.] The Morse inequalities (following E. Witten). (Les inégalités de Morse (d’après E. Witten).) (French) Zbl 0565.58033 Sémin. Bourbaki, 36e année, Vol. 1983/84, Exp. No. 617, Astérisque 121-122, 43-61 (1985). Reviewer: B. Nowak MSC: 58J10 53C65 57R20 58A14 53C80 PDFBibTeX XML Full Text: Numdam EuDML
Vaisman, Izu Sur une classe de variétés complexes non-kaehleriennes. (French) Zbl 0488.53044 C. R. Acad. Sci., Paris, Sér. I 294, 365-368 (1982). MSC: 53C55 PDFBibTeX XMLCite \textit{I. Vaisman}, C. R. Acad. Sci., Paris, Sér. I 294, 365--368 (1982; Zbl 0488.53044)
Dieudonné, Jean Éléments d’analyse. Tome IX. Chapitre XXIV. (French) Zbl 0485.58001 Cahiers Scientifiques, Fasc. XLII. Publie avec le concours du C. N. R. S. Paris: Gauthier-Villars. XVIII, 380 p. FF 320.00 (1982). MSC: 58-01 55-01 58A12 55Rxx 58A14 58A10 20G10 17B56 57Q05 55N10 53C05 14F40 14H05 58J10 58J20 PDFBibTeX XML
Donnelly, Harold On \(L^ 2-\)Betti numbers for Abelian groups. (English) Zbl 0462.58029 Can. Math. Bull. 24, 91-95 (1981). MSC: 58J10 57S30 46M20 47A67 47B06 53C20 58C35 58A10 58A14 PDFBibTeX XMLCite \textit{H. Donnelly}, Can. Math. Bull. 24, 91--95 (1981; Zbl 0462.58029) Full Text: DOI