Guan, Qi’an; Mi, Zhitong; Yuan, Zheng Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. II. (English) Zbl 07872185 Adv. Math. 450, Article ID 109766, 61 p. (2024). MSC: 32D15 32E10 32L10 32U05 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coman, Dan; Marinescu, George; Nguyen, Viet-Anh Holomorphic sections of line bundles vanishing along subvarieties. (English) Zbl 07858218 Indiana Univ. Math. J. 73, No. 2, 493-536 (2024). MSC: 32L10 32A60 32U40 32W20 53C55 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diatta, Sény; Sambou, Souhaibou; Bodian, Eramane; Sambou, Salomon; Khidr, Shaban Boundary values of pluriharmonic functions with Bott-Chern cohomology. (English) Zbl 07857982 Acta Sci. Math. 90, No. 1-2, 231-239 (2024). Reviewer: Ömer Gök (İstanbul) MSC: 32D15 31C10 32L10 32L20 32D20 × Cite Format Result Cite Review PDF Full Text: DOI
Boumuki, Nobutaka On the dimensions of vector spaces concerning holomorphic vector bundles over elliptic orbits. II. (English) Zbl 1537.32063 Mem. Grad. Sch. Sci. Eng. Shimane Univ., Ser. B, Math. 57, 1-25 (2024). MSC: 32M10 32L05 × Cite Format Result Cite Review PDF Full Text: Link
Biswas, Indranil; Pingali, Vamsi Pritham Criteria for the ampleness of certain vector bundles. (English) Zbl 07836122 Proc. Am. Math. Soc. 152, No. 5, 1961-1968 (2024). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14J60 14F17 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marinescu, George; Savale, Nikhil Geometric quantization results for semi-positive line bundles on a Riemann surface. (English) Zbl 07827600 J. Geom. Anal. 34, No. 5, Paper No. 138, 41 p. (2024). MSC: 53C17 58J50 32A25 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zhou, Xiangyu Recent progress in the theory of functions of several complex variables and complex geometry. (English. Russian original) Zbl 1537.32061 Theor. Math. Phys. 218, No. 1, 163-176 (2024); translation from Teor. Mat. Fiz. 218, No. 1, 187-203 (2024). MSC: 32L10 32U05 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Ching-Hao; Cheng, Jih-Hsin; Tsai, I.-Hsun Theta functions and adiabatic curvature on an abelian variety. (English) Zbl 1537.32053 J. Geom. Anal. 34, No. 5, Paper No. 136, 23 p. (2024). MSC: 32J25 14K25 32L10 14K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Xianghong; Stolovitch, Laurent A structure theorem for neighborhoods of compact complex manifolds. (English) Zbl 1537.32086 J. Geom. Anal. 34, No. 5, Paper No. 133, 30 p. (2024). MSC: 32Q57 32Q28 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Qi’an; Yuan, Zheng Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain. IV: Product of open Riemann surfaces. (English) Zbl 1537.32025 Peking Math. J. 7, No. 1, 91-154 (2024). MSC: 32D15 32E10 32L10 32U05 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goto, Ryushi The Kobayashi-Hitchin correspondence of generalized holomorphic vector bundles over generalized Kähler manifolds of symplectic type. (English) Zbl 07795418 Int. Math. Res. Not. 2024, No. 2, 1496-1567 (2024). Reviewer: Nicholas Rungi (Grenoble) MSC: 53D18 32L10 32Q15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Xueyuan Positivity of Schur forms for strongly decomposably positive vector bundles. (English) Zbl 1531.32030 Forum Math. Sigma 12, Paper No. e9, 28 p. (2024). MSC: 32Q10 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ayibe, Aristide; Kourouma, Moussa Smooth deformation of holomorphic sections of a Riemannian almost Hermitian fiber bundle through harmonic sections. (English) Zbl 1538.53043 Afr. Mat. 35, No. 1, Paper No. 13, 16 p. (2024). MSC: 53C15 53C55 55R10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chunle Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds. (English) Zbl 1528.32028 J. Geom. Anal. 34, No. 1, Paper No. 4, 17 p. (2024). MSC: 32L10 32J27 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Manli; Shao, Guokuan; Wang, Wenxuan Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate. arXiv:2409.16836 Preprint, arXiv:2409.16836 [math.CV] (2024). MSC: 32A25 53C55 32W05 32L10 × Cite Format Result Cite Full Text: arXiv OA License
Chirvasitu, Alexandru Bundle-extension inverse problems over elliptic curves. arXiv:2407.07344 Preprint, arXiv:2407.07344 [math.AG] (2024). MSC: 14H52 14H60 14D20 14F06 18E10 18G15 32L10 × Cite Format Result Cite Full Text: arXiv OA License
Choi, Young-Jun; Schumacher, Georg Curvature of higher direct images of sheaves of twisted holomorphic forms. arXiv:2407.04298 Preprint, arXiv:2407.04298 [math.CV] (2024). MSC: 32L10 14D20 32G05 × Cite Format Result Cite Full Text: arXiv OA License
Coman, Dan; Ma, Xiaonan; Marinescu, George Tian’s theorem for Moishezon spaces. arXiv:2407.03193 Preprint, arXiv:2407.03193 [math.DG] (2024). MSC: 32L10 32A60 32C20 32U05 32U40 × Cite Format Result Cite Full Text: arXiv OA License
Wu, Hao; Xie, Song-Yan Hole probabilities of random zeros on compact Riemann surfaces. arXiv:2406.19114 Preprint, arXiv:2406.19114 [math.CV] (2024). MSC: 31A15 32C30 32L10 60B10 60D05 × Cite Format Result Cite Full Text: arXiv OA License
He, Bojie; Zhou, Xiangyu On the subadditivity of generalized Kodaira dimensions. arXiv:2405.08265 Preprint, arXiv:2405.08265 [math.CV] (2024). MSC: 32J25 14C30 32L10 32U05 14M25 14F18 × Cite Format Result Cite Full Text: arXiv OA License
Kruglikov, Boris; Schneider, Eivind Invariant divisors and equivariant line bundles. arXiv:2404.19439 Preprint, arXiv:2404.19439 [math.DG] (2024). MSC: 53A55 58D19 22F05 32M05 14C20 17B56 32L10 × Cite Format Result Cite Full Text: arXiv OA License
Peng, Xiquan; Shao, Guokuan; Wang, Wenxuan Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds. arXiv:2404.11908 Preprint, arXiv:2404.11908 [math.CV] (2024). MSC: 32A25 32L10 × Cite Format Result Cite Full Text: arXiv OA License
Bayraktar, Turgay; Coman, Dan; Marinescu, George; Nguyên, Viêt-Anh Zeros of random holomorphic sections of big line bundles with continuous metrics. arXiv:2404.08116 Preprint, arXiv:2404.08116 [math.CV] (2024). MSC: 32L10 32A60 32C20 32U05 32U40 60D05 × Cite Format Result Cite Full Text: arXiv OA License
Dinh, Tien-Cuong; Ghosh, Subhroshekhar; Wu, Hao Hole event for random holomorphic sections on compact Riemann surfaces. arXiv:2402.11672 Preprint, arXiv:2402.11672 [math.CV] (2024). MSC: 31A15 32C30 32L10 60B10 60D05 60F10 × Cite Format Result Cite Full Text: arXiv OA License
Watanabe, Yuta \(\omega\)-trace and Griffiths positivity for singular Hermitian metrics. arXiv:2402.06658 Preprint, arXiv:2402.06658 [math.DG] (2024). MSC: 32L10 32L20 32Q10 32U05 × Cite Format Result Cite Full Text: arXiv OA License
Lyu, Zhentao A Sheaf Cohomology Restriction Formula on Toric Complete Intersections. arXiv:2401.07293 Preprint, arXiv:2401.07293 [math.AG] (2024). MSC: 14F06 32L10 55N45 55N30 × Cite Format Result Cite Full Text: arXiv OA License
Ayibe, Aristide Harmonicity of \((\sigma,\sigma')\)-holomorphic sections of a (Riemannian) almost quaternonic fiber bundle. (English) Zbl 07869693 Afr. Math. Ann. (AFMA) 10, 7-26 (2023). MSC: 53C15 58C10 58E20 × Cite Format Result Cite Review PDF
Coman, Dan; Marinescu, George; Wang, Huan Singular holomorphic Morse inequalities on non-compact manifolds. (English) Zbl 07831187 Rev. Roum. Math. Pures Appl. 68, No. 1-2, 61-82 (2023). MSC: 32L10 32F10 32F17 32U40 32L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Chunle; Liu, Kefeng; Wan, Xueyuan; Yang, Xiaokui Vanishing theorems for sheaves of logarithmic differential forms on compact Kähler manifolds. (English) Zbl 1534.14015 Int. Math. Res. Not. 2023, No. 16, 13501-13523 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14F17 32L20 32L10 32J27 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Chiang, Yueh-Lin Semi-classical asymptotics of Bergman and spectral kernels for \((0, q)\)-forms. (English) Zbl 1528.32027 Bull. Inst. Math., Acad. Sin. (N.S.) 18, No. 3, 299-364 (2023). MSC: 32L10 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Xiangyu; Zhu, Langfeng Siu’s lemma: generalizations and applications. (English) Zbl 1528.32016 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 947-967 (2023). MSC: 32D15 14F18 32L10 32W05 32U05 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Qi’An; Yuan, Zheng Concavity property of minimal \(L^2\) Integrals with Lebesgue measurable gain. (English) Zbl 1528.32013 Nagoya Math. J. 252, 842-905 (2023). MSC: 32D15 32E10 32L10 32U05 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fang, Hanlong Construct holomorphic invariants in Čech cohomology by a combinatorial formula. (English) Zbl 1527.32013 Manuscr. Math. 172, No. 3-4, 1045-1091 (2023). MSC: 32L05 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hsiao, Chin-Yu; Ma, Xiaonan; Marinescu, George Geometric quantization on CR manifolds. (English) Zbl 1535.53086 Commun. Contemp. Math. 25, No. 10, Article ID 2250074, 73 p. (2023). Reviewer: Huan Wang (Zhengzhou) MSC: 53D50 53D20 53C25 32W10 32L10 35S30 32V20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Seungjae; Seo, Aeryeong Symmetric differentials and jets extension of \(L^2\) holomorphic functions. (English) Zbl 1530.32004 Indiana Univ. Math. J. 72, No. 3, 1239-1272 (2023). Reviewer: Judith Brinkschulte (Leipzig) MSC: 32A36 32A25 32W05 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiaoshan; Shao, Guokuan; Wang, Huan On Bergman kernel functions and weak holomorphic Morse inequalities. (English) Zbl 1528.32029 Anal. Math. Phys. 13, No. 5, Paper No. 68, 22 p. (2023). Reviewer: Harold P. Boas (College Station) MSC: 32L10 32A25 32F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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: 32L10 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yuan Cartan’s method and its applications in sheaf cohomology. (English) Zbl 1522.32049 Expo. Math. 41, No. 2, 288-298 (2023). MSC: 32L10 55N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Shi Jie; Guan, Qi An \(L^2\) extension and effectiveness of \(L^p\) strong openness property. (English) Zbl 1521.32011 Acta Math. Sin., Engl. Ser. 39, No. 5, 814-826 (2023). MSC: 32D15 32U05 32E10 32L10 × Cite Format Result Cite Review PDF Full Text: DOI
Kwon, Myeonggi; Oba, Takahiro Rational ruled surfaces as symplectic hyperplane sections. (English) Zbl 1539.14083 Trans. Am. Math. Soc. 376, No. 7, 4811-4833 (2023). Reviewer: Mohammad Farajzadeh Tehrani (Iowa City) MSC: 14J42 14J26 14C20 53D35 57R17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil; Dumitrescu, Sorin; Heller, Sebastian Branched \(SL(r,\mathbb{C})\)-opers. (English) Zbl 1527.32014 Int. Math. Res. Not. 2023, No. 10, 8311-8355 (2023). MSC: 32L10 14H60 20G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Seungjae; Seo, Aeryeong Weighted \(L^2\) holomorphic functions on ball-fiber bundles over compact Kähler manifolds. (English) Zbl 1517.32011 J. Geom. Anal. 33, No. 7, Paper No. 233, 30 p. (2023). MSC: 32A36 32M18 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gironella, Fabio; Muñoz, Vicente; Zhou, Zhengyi Asymptotically holomorphic theory for symplectic orbifolds. (English) Zbl 1519.53068 Math. Z. 304, No. 1, Paper No. 21, 33 p. (2023). Reviewer: Mihai Putinar (Santa Barbara) MSC: 53D35 57R17 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Shijie; Guan, Qi’an; Yuan, Zheng Concavity property of minimal \(L^2\) integrals with Lebesgue measurable gain V-fibrations over open Riemann surfaces. (English) Zbl 1517.32020 J. Geom. Anal. 33, No. 6, Paper No. 179, 73 p. (2023). MSC: 32D15 32E10 32L10 32U05 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Bojie; Zhou, Xiangyu Metrics on twisted pluricanonical bundles and finite generation of twisted canonical rings. (English) Zbl 1514.14007 Pure Appl. Math. Q. 19, No. 2, 451-485 (2023). Reviewer: Mohammad Reza Rahmati (León) MSC: 14C30 14F18 32J25 32L10 32U05 × Cite Format Result Cite Review PDF Full Text: DOI
Watanabe, Yuta Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics. (English) Zbl 1536.32008 Math. Z. 303, No. 4, Paper No. 92, 23 p. (2023). MSC: 32L20 14F17 32L10 14F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Inayama, Takahiro Pseudonorms on direct images of pluricanonical bundles. (English) Zbl 1511.32020 J. Funct. Anal. 284, No. 12, Article ID 109916, 21 p. (2023). MSC: 32Q28 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Coman, Dan; Lu, Wen; Ma, Xiaonan; Marinescu, George Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds. (English) Zbl 1522.32008 Adv. Math. 414, Article ID 108854, 34 p. (2023). Reviewer: Dariush Ehsani (Berlin) MSC: 32A25 32Q15 32L05 32U40 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil; Bottacin, Francesco; Gómez, Tomás L. Comparison of Poisson structures on moduli spaces. (English) Zbl 1521.53060 Rev. Mat. Complut. 36, No. 1, 57-72 (2023). Reviewer: Pablo Suárez-Serrato (Ciudad de México) MSC: 53D30 53D17 58A30 32S60 32L10 14H60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Fujino, Osamu Relative Bertini type theorem for multiplier ideal sheaves. (English) Zbl 1510.32042 Osaka J. Math. 60, No. 1, 207-226 (2023). MSC: 32L20 32L10 32Q15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Coman, Dan; Marinescu, George; Nguyên, Viêt-Anh Restricted spaces of holomorphic sections vanishing along subvarieties. arXiv:2310.04770 Preprint, arXiv:2310.04770 [math.CV] (2023). MSC: 32L10 32A60 32C20 32U05 32U40 53C55 81Q50 × Cite Format Result Cite Full Text: arXiv OA License
Watanabe, Yuta Dual Nakano positivity and singular Nakano positivity of direct image sheaves. arXiv:2302.09398 Preprint, arXiv:2302.09398 [math.CV] (2023). MSC: 32L10 32G05 14F18 × Cite Format Result Cite Full Text: arXiv OA License
Göttsche, Lothar; Kool, Martijn Sheaves on surfaces and virtual invariants. (English) Zbl 1539.14033 Cao, Huai-Dong (ed.) et al., Differential geometry, Calabi-Yau theory, and general relativity. Part 2. Lectures and articles celebrating the 70th birthday of Shing-Tung Yau, Harvard University, Cambridge, MA, USA, May 2019. Somerville, MA: International Press. Surv. Differ. Geom. 24, 67-116 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 14F06 14N35 14J80 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finski, Siarhei On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities. (English) Zbl 1520.57033 J. Lond. Math. Soc., II. Ser. 106, No. 2, 1539-1579 (2022). MSC: 57R22 58A10 53C07 32L10 15B48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Coman, Dan; Marinescu, George Equidistribution for weakly holomorphic sections of line bundles on algebraic curves. (English. French summary) Zbl 1520.14069 Ann. Fac. Sci. Toulouse, Math. (6) 31, No. 3, 949-973 (2022). Reviewer: Andrea Galasso (Taipei) MSC: 14H60 32L10 30F10 32U40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Liu, Zhuo; Yang, Hui; Zhou, Xiangyu New properties of multiplier submodule sheaves. (Nouvelles propriétés des faisceaux de sous-modules multiplicateurs.) (English. French summary) Zbl 1505.32034 C. R., Math., Acad. Sci. Paris 360, 1205-1212 (2022). MSC: 32L05 32L10 32Q10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bao, Shi Jie; Guan, Qi An \(L^2\) extension and effectiveness of strong openness property. (English) Zbl 1505.32016 Acta Math. Sin., Engl. Ser. 38, No. 11, 1949-1964 (2022). MSC: 32D15 32E10 32L10 32U05 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Qi’an; Li, Zhenqian; Zhou, Xiangyu Stability of multiplier ideal sheaves. (English) Zbl 1504.32022 Chin. Ann. Math., Ser. B 43, No. 5, 819-832 (2022). MSC: 32C35 32L10 32U05 32W05 × Cite Format Result Cite Review PDF Full Text: DOI
Inayama, Takahiro Singular Hermitian metrics with isolated singularities. (English) Zbl 1504.32056 Nagoya Math. J. 248, 980-989 (2022). MSC: 32L10 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Naumann, Philipp Positivity of direct images with a Poincaré type twist. (English) Zbl 1505.14021 Forum Math. Sigma 10, Paper No. e89, 24 p. (2022). Reviewer: Patrick Graf (Bayreuth) MSC: 14D05 32L10 14J15 32G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Guan, Qi’an; Yuan, Zheng An optimal support function related to the strong openness conjecture. (English) Zbl 1504.32027 J. Math. Soc. Japan 74, No. 4, 1269-1293 (2022). MSC: 32D15 32E10 32L10 32U05 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Jingzhou Correction to: “Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields”. (English) Zbl 1496.32025 J. Geom. Anal. 32, No. 10, Paper No. 259, 2 p. (2022). MSC: 32L10 53C55 32A25 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Siu, Yum-Tong The role of the gradient term of the Bochner-Kodaira formula in coherent sheaf extension. (English) Zbl 1496.32024 J. Geom. Anal. 32, No. 10, Paper No. 251, 22 p. (2022). MSC: 32L10 32L20 32D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishida, Hiroaki; Kasuya, Hisashi Non-invariant deformations of left-invariant complex structures on compact Lie groups. (English) Zbl 1540.22031 Forum Math. 34, No. 4, 907-918 (2022). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E46 32L10 32M05 32M10 32G05 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, X.; Zhang, N. Holomorphic sections of line bundles on the jet spaces of the Riemann sphere. (English) Zbl 1513.32036 Anal. Math. 48, No. 2, 589-600 (2022). Reviewer: Mihai Putinar (Santa Barbara) MSC: 32L10 05A19 14J60 58D15 32C35 58A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Auvray, Hugues; Ma, Xiaonan; Marinescu, George Quotient of Bergman kernels on punctured Riemann surfaces. (English) Zbl 1496.32023 Math. Z. 301, No. 3, 2339-2367 (2022). Reviewer: Dan Coman (Syracuse) MSC: 32L10 30F45 30H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hou, Yu-Chi Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus. (English) Zbl 1487.32017 Bull. Inst. Math., Acad. Sin. (N.S.) 17, No. 1, 1-51 (2022). MSC: 32A25 32L10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ping; Zheng, Fangyang Chern class inequalities on polarized manifolds and nef vector bundles. (English) Zbl 1495.32055 Int. Math. Res. Not. 2022, No. 8, 6262-6288 (2022). MSC: 32L10 32Q55 32Q05 32J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Xianghong; Stolovitch, Laurent Equivalence of neighborhoods of embedded compact complex manifolds and higher codimension foliations. (English) Zbl 1495.32067 Arnold Math. J. 8, No. 1, 61-145 (2022). Reviewer: Judith Brinkschulte (Leipzig) MSC: 32Q57 32L10 37F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yeping The direct image of a flat fibration with complex fibers. (English) Zbl 1487.32107 Bull. Sci. Math. 176, Article ID 103115, 54 p. (2022). MSC: 32L10 32M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchdahl, Nicholas; Schumacher, Georg Polystable bundles and representations of their automorphisms. (English) Zbl 1484.14091 Complex Manifolds 9, 78-113 (2022). Reviewer: Alfonso Zamora (Madrid) MSC: 14L24 32G13 32L10 32Q15 53C07 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Jian; Rao, Sheng \(L^2\) extension of \(\bar{\partial} \)-closed forms on weakly pseudoconvex Kähler manifolds. (English) Zbl 1487.32050 J. Geom. Anal. 32, No. 5, Paper No. 156, 31 p. (2022). MSC: 32D15 32L10 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Vo Van On the GAGA principle for algebraic affine hypersurfaces. (English) Zbl 1487.32106 C. R., Math., Acad. Sci. Paris 360, 103-110 (2022). MSC: 32L10 14C22 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Biswas, Indranil; Tomberg, Artour On vector bundles over hyperkähler twistor spaces. (English) Zbl 1485.14076 Math. Z. 300, No. 3, 3143-3170 (2022). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14J60 32L25 53C28 32L10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumura, Shin-ichi Injectivity theorems with multiplier ideal sheaves for higher direct images under Kähler morphisms. (English) Zbl 1487.32110 Algebr. Geom. 9, No. 2, 122-158 (2022). MSC: 32L20 32L10 14F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchdahl, Nicholas; Schumacher, Georg An analytic application of Geometric Invariant Theory. II: Coarse moduli spaces. (English) Zbl 1487.32067 J. Geom. Phys. 175, Article ID 104467, 13 p. (2022). Reviewer: Mihai Putinar (Santa Barbara) MSC: 32G13 14L24 32L10 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Youming; Yang, Song On blow-up formula of integral Bott-Chern cohomology. (English) Zbl 1487.32094 Ann. Global Anal. Geom. 61, No. 1, 57-67 (2022). MSC: 32J18 32L10 × Cite Format Result Cite Review PDF Full Text: DOI
Zelditch, Steve; Flurin, Pierre Entropy of Bergman measures of a toric Kaehler manifold. (English) Zbl 1487.32018 Pure Appl. Math. Q. 18, No. 1, 269-303 (2022). MSC: 32A25 32L10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Xiangyu; Zhu, Langfeng Extension of cohomology classes and holomorphic sections defined on subvarieties. (English) Zbl 1487.32108 J. Algebr. Geom. 31, No. 1, 137-179 (2022). MSC: 32L10 32D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Shijie; Guan, Qi’an; Yuan, Zheng A note on \(\xi-\)Bergman kernels. arXiv:2212.01561 Preprint, arXiv:2212.01561 [math.CV] (2022). MSC: 32D15 32E10 32L10 32U05 32W05 × Cite Format Result Cite Full Text: arXiv OA License
Watanabe, Yuta \(L^2\)-type Dolbeault isomorphisms and vanishing theorems for logarithmic sheaves twisted by multiplier ideal sheaves. arXiv:2211.10077 Preprint, arXiv:2211.10077 [math.CV] (2022). MSC: 14F17 14F18 32L10 32L20 × Cite Format Result Cite Full Text: arXiv OA License
Watanabe, Yuta Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity. arXiv:2209.00823 Preprint, arXiv:2209.00823 [math.CV] (2022). MSC: 14F17 14F18 32L10 32L20 × Cite Format Result Cite Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha Mall bundles and flat connections on Hopf manifolds. arXiv:2205.14062 Preprint, arXiv:2205.14062 [math.DG] (2022). MSC: 14F06 32L05 32L10 53C07 34C20 × Cite Format Result Cite Full Text: arXiv OA License
Coskun, Izzet; Huizenga, Jack; Smith, Geoffrey Stability and cohomology of kernel bundles on projective space. arXiv:2204.10247 Preprint, arXiv:2204.10247 [math.AG] (2022). MSC: 14J60 14F06 32L10 14D20 × Cite Format Result Cite Full Text: arXiv OA License
Hou, Yu-Chi Asymptotic of Bergman Kernel (Master Thesis). arXiv:2202.03383 Preprint, arXiv:2202.03383 [math.CV] (2022). MSC: 32L10 × Cite Format Result Cite Full Text: DOI arXiv OA License
Zhou, Xiangyu; Zhu, Langfeng \(L^2\) extensions with singular metrics on Kähler manifolds. (English) Zbl 1513.32020 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 6, 2021-2038 (2021). MSC: 32D15 32Q15 32U05 32A55 32L10 14F18 × Cite Format Result Cite Review PDF Full Text: DOI
Ayibe, Aristide Harmonicity of \((\sigma, \sigma')\)-holomorphic sections of a (semi-Riemannian) almost para-quaternionic fiber bundle. (English) Zbl 1493.53038 Palest. J. Math. 10, No. 2, 809-833 (2021). MSC: 53C15 58C10 58E20 × Cite Format Result Cite Review PDF Full Text: Link
Brînzănescu, Vasile Vector bundles on non-Kähler elliptic surfaces and integrable systems. (English) Zbl 1524.32022 Rev. Roum. Math. Pures Appl. 66, No. 2, 257-263 (2021). MSC: 32L10 32J18 32G13 14J60 13D09 53D17 37J35 37J38 × Cite Format Result Cite Review PDF Full Text: Link
Galindo, Carlos; Monserrat, Francisco; Olivares, Jorge Foliations with isolated singularities on Hirzebruch surfaces. (English) Zbl 1487.32171 Forum Math. 33, No. 6, 1471-1486 (2021). MSC: 32S65 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ma, Xiaonan Orbifold submersion and analytic torsions. (English) Zbl 1484.58017 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 141-177 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 32L10 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Schmitt, Alexander H. W. Vector bundles over compact Riemann surfaces. (English) Zbl 1478.30012 Ji, LizhenTung (ed.) et al., Moduli spaces and locally symmetric spaces. Based on two workshops, Morningside Center of Mathematics, Beijing, China, February 2017 and March 2019. Somerville, MA: International Press; Beijing: Higher Education Press. Surv. Mod. Math. 16, 183-359 (2021). MSC: 30F10 32L10 14H60 × Cite Format Result Cite Review PDF
Bruzzo, Ugo; Rubtsov, Vladimir N. Koszul complexes and spectral sequences associated with Lie algebroids. (English) Zbl 1475.32011 São Paulo J. Math. Sci. 15, No. 2, 495-504 (2021). MSC: 32L10 58J52 14F08 14F40 14C40 55N25 55N91 55R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Chi, Chen-Yu On the extension of holomorphic adjoint sections from reduced unions of strata of divisors. (English) Zbl 1478.32059 Math. Z. 299, No. 3-4, 1789-1819 (2021). MSC: 32L05 32D15 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosono, Genki; Inayama, Takahiro A converse of Hörmander’s \(L^2\)-estimate and new positivity notions for vector bundles. (English) Zbl 1478.32063 Sci. China, Math. 64, No. 8, 1745-1756 (2021). MSC: 32L10 32L15 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujino, Osamu; Matsumura, Shin-Ichi Injectivity theorem for pseudo-effective line bundles and its applications. (English) Zbl 1478.32062 Trans. Am. Math. Soc., Ser. B 8, 849-884 (2021). Reviewer: Ngai Fung Ng (West Lafayette) MSC: 32L10 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Shiffman, Bernard Asymptotic expansion of the variance of random zeros on complex manifolds. (English) Zbl 1481.32009 J. Geom. Anal. 31, No. 8, 8607-8631 (2021). Reviewer: Dan Coman (Syracuse) MSC: 32J27 32L10 32A60 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Jingzhou Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields. (English) Zbl 1480.32005 J. Geom. Anal. 31, No. 8, 8520-8538 (2021). Reviewer: Harold P. Boas (College Station) MSC: 32L10 53C55 32A25 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brodie, Callum R.; Constantin, Andrei; Deen, Rehan; Lukas, Andre Topological formulae for the zeroth cohomology of line bundles on del Pezzo and Hirzebruch surfaces. (English) Zbl 1471.32022 Complex Manifolds 8, 223-229 (2021). MSC: 32J15 14J60 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Naumann, Philipp Curvature of higher direct images. (English. French summary) Zbl 1471.32027 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 171-201 (2021). MSC: 32L10 32G05 14Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv