Finski, Siarhei Geometry at infinity of the space of Kähler potentials and asymptotic properties of filtrations. (English) Zbl 07962753 J. Reine Angew. Math. 818, 115-164 (2025). MSC: 53-XX 58-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yan; Tian, Gang; Zhu, Xiaohua Singular limits of Kähler-Ricci flow on Fano \(G\)-manifolds. (English) Zbl 07958215 Am. J. Math. 146, No. 6, 1651-1690 (2024). Reviewer: Vladimir P. Kostov (Nice) MSC: 53E30 53E20 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qu, Binggang; Yin, Hang Arithmetic Demailly approximation theorem. (English) Zbl 07940526 Adv. Math. 458, Part A, Article ID 109961, 24 p. (2024). MSC: 14Gxx 11Gxx 32Uxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finski, Siarhei Semiclassical Ohsawa-Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel. (English) Zbl 07939777 J. Differ. Geom. 128, No. 2, 639-721 (2024). MSC: 32-XX 53-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhou, Shengxuan Peak sections and Bergman kernels on Kähler manifolds with complex hyperbolic cusps. (English) Zbl 07932351 Math. Ann. 390, No. 2, 1973-2041 (2024). MSC: 32-XX 53-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Linsheng; Zhou, Shengxuan Bergman kernels on degenerations. (English) Zbl 07930939 Math. Z. 308, No. 3, Paper No. 44, 22 p. (2024). Reviewer: Guokuan Shao (Zhuhai) MSC: 53C05 32Q15 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Kewei A quantization proof of the uniform Yau-Tian-Donaldson conjecture. (English) Zbl 07927743 J. Eur. Math. Soc. (JEMS) 26, No. 12, 4763-4778 (2024). MSC: 32Q20 32Q26 32Uxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashimoto, Yoshinori Balanced metrics for extremal Kähler metrics and Fano manifolds. (English) Zbl 07924250 Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 169-188 (2024). MSC: 32J27 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finski, Siarhei On semiclassical Ohsawa-Takegoshi extension theorem. (English) Zbl 07924249 Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 141-168 (2024). MSC: 32D15 32-02 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Jingzhou Projective embedding of stably degenerating sequences of hyperbolic Riemann surfaces. (English) Zbl 07904872 Anal. PDE 17, No. 6, 1871-1886 (2024). MSC: 30F10 30F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darvas, Tamás; Xia, Mingchen The volume of pseudoeffective line bundles and partial equilibrium. (English) Zbl 07904163 Geom. Topol. 28, No. 4, 1957-1993 (2024). MSC: 32W20 32J27 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finski, Siarhei The asymptotics of the optimal holomorphic extensions of holomorphic jets along submanifolds. (English. French summary) Zbl 07899472 J. Math. Pures Appl. (9) 189, Article ID 103586, 41 p. (2024). Reviewer: Miroslav Doupovec (Brno) MSC: 53C55 32A25 32D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gayet, Damien Expected local topology of random complex submanifolds. (English) Zbl 07893527 J. Algebr. Geom. 33, No. 4, 655-686 (2024). MSC: 14-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marinescu, George; Savale, Nikhil Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface. (English) Zbl 1547.58012 Math. Ann. 389, No. 4, 4083-4124 (2024). Reviewer: Xiaojun Wu (Nice) MSC: 58J50 58C40 53C17 53C21 32L05 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hedenmalm, Haakan; Wennman, Aron Berezin density and planar orthogonal polynomials. (English) Zbl 07891370 Trans. Am. Math. Soc. 377, No. 7, 4825-4863 (2024). Reviewer: María-José Cantero (Zaragoza) MSC: 42C05 33C45 35C20 41A60 35Q15 35B40 60B20 × 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). Reviewer: Harold P. Boas (College Station) MSC: 32L10 32A60 32U40 32W20 53C55 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ancona, Michele Exponential rarefaction of maximal real algebraic hypersurfaces. (English) Zbl 07835495 J. Eur. Math. Soc. (JEMS) 26, No. 4, 1423-1444 (2024). MSC: 14J70 14P25 32A25 × 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
Berman, Robert J. The probabilistic vs the quantization approach to Kähler-Einstein geometry. (English) Zbl 07826802 Math. Ann. 388, No. 4, 4383-4404 (2024). Reviewer: Rolf Andreasson (Gothenburg) MSC: 32Q15 32Q20 14J45 32W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Shengxuan On the convergence rate of Bergman metrics. (English) Zbl 1537.32080 Peking Math. J. 7, No. 1, 399-439 (2024). MSC: 32Q15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Shengxuan The asymptotic behavior of Bergman kernels. (English) Zbl 1539.32005 Adv. Math. 440, Article ID 109514, 37 p. (2024). Reviewer: Xiaojun Wu (Nice) MSC: 32Q15 32A25 32C15 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashmore, Anthony Eigenvalues and eigenforms on Calabi-Yau threefolds. (English) Zbl 07783025 J. Geom. Phys. 195, Article ID 105028, 22 p. (2024). MSC: 58C40 53-08 14J32 32Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xu An explicit estimate of the Bergman kernel for positive line bundles. (Une estimation explicite du noyau de Bergman pour les fibrés de droites positifs.) (English. French summary) Zbl 07915622 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 5, 805-816 (2023). MSC: 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Xiaohua Kähler-Ricci flow on Fano manifolds. (English) Zbl 1542.53099 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2718-2737 (2023). Reviewer: Thibaut Delcroix (Montpellier) MSC: 53E30 53C55 32Q20 32Q10 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Placini, Giovanni Approximation of regular Sasakian manifolds. (English) Zbl 1545.53051 Pac. J. Math. 327, No. 1, 167-181 (2023). Reviewer: Ion Mihai (Bucureşti) MSC: 53C25 53C42 32V05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barilari, Davide (ed.); Ma, Xiaonan (ed.); Savale, Nikhil (ed.); Wang, Yi (ed.) Hypoelliptic operators in geometry. Abstracts from the workshop held May 21–26, 2023. (English) Zbl 1528.32001 Oberwolfach Rep. 20, No. 2, 1323-1396 (2023). MSC: 00B05 00B25 32-06 58-06 32A25 32V20 35H10 35H20 35K08 35R03 53C17 53C18 58C40 58J20 58J40 58J65 × Cite Format Result Cite Review PDF Full Text: DOI
Eyssidieux, Philippe (ed.); Hwang, Jun-Muk (ed.); Kebekus, Stefan (ed.); Păun, Mihai (ed.) Complex analysis – differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9–14, 2023. (Komplexe Analysis – differential and algebraic methods in Kähler spaces.) (English) Zbl 1528.32002 Oberwolfach Rep. 20, No. 2, 965-1030 (2023). MSC: 00B05 00B25 32-06 14-06 32Q15 14J15 × 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
Feng, Zhiming; Tu, Zhenhan The balanced metrics and cscK metrics on polyball bundles. (English) Zbl 1528.32007 Anal. Math. Phys. 13, No. 6, Paper No. 88, 36 p. (2023). MSC: 32A25 32M15 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Ashmore, A.; He, Y.-H.; Heyes, E.; Ovrut, B. A. Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces. (English) Zbl 07744309 J. High Energy Phys. 2023, No. 7, Paper No. 164, 49 p. (2023). MSC: 81-08 81T60 81T33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deleporte, Alix WKB eigenmode construction for analytic Toeplitz operators. (English) Zbl 1522.32009 Pure Appl. Anal. 5, No. 2, 213-260 (2023). MSC: 32A25 47B35 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Ma, Xiaonan; Zhang, Weiping Superconnection and family Bergman kernels. (English) Zbl 1525.32003 Math. Ann. 386, No. 3-4, 2207-2253 (2023). Reviewer: Guokuan Shao (Zhuhai) MSC: 32A25 47B35 58J20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Fang, Yanbo Metrised ample line bundles in non-Archimedean geometry. (Fibrés en droites amples métrisés en géométrie non-Archimédienne.) (English. French summary) Zbl 1521.32025 Ann. Inst. Fourier 73, No. 4, 1589-1625 (2023). MSC: 32P05 32L05 32E20 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Kuang-Ru A Wess-Zumino-Witten type equation in the space of Kähler potentials in terms of Hermitian-Yang-Mills metrics. (English) Zbl 1518.32007 Anal. PDE 16, No. 2, 341-366 (2023). MSC: 32Q15 32U05 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gayet, Damien Systoles and Lagrangians of random complex algebraic hypersurfaces. (English) Zbl 1522.60021 J. Eur. Math. Soc. (JEMS) 25, No. 4, 1457-1496 (2023). Reviewer: Fernando Etayo Gordejuela (Santander) MSC: 60D05 53D12 32Q15 14J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Mai, Weixiong; Shao, Guokuan On the Bergman kernel in weighted monogenic Bargmann-Fock spaces. (English) Zbl 1509.30037 Adv. Math. 415, Article ID 108891, 27 p. (2023). Reviewer: Kehe Zhu (Albany) MSC: 30G35 32A25 15A66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ancona, Michele On the topology of random real complete intersections. (English) Zbl 1511.14098 J. Geom. Anal. 33, No. 1, Paper No. 32, 26 p. (2023). MSC: 14P25 32Q15 60D05 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Dinh, Tien-Cuong (ed.); Marinescu, George (ed.); Tosatti, Valentino (ed.); Wulcan, Elizabeth (ed.) Complex geometry and dynamical systems. Abstracts from the workshop held September 4–10, 2022. (English) Zbl 1520.00026 Oberwolfach Rep. 19, No. 3, 2335-2397 (2022). MSC: 00B05 00B25 32-06 37-06 37F44 × Cite Format Result Cite Review PDF Full Text: DOI
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
Ancona, Michele Random real branched coverings of the projective line. (English) Zbl 1505.14119 J. Inst. Math. Jussieu 21, No. 5, 1783-1799 (2022). MSC: 14P05 14H30 32A25 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hsiao, Chin-Yu; Marinescu, George; Wang, Huan Szegő kernel asymptotics on complete strictly pseudoconvex CR manifolds. (English) Zbl 1503.32023 J. Geom. Anal. 32, No. 11, Paper No. 266, 53 p. (2022). Reviewer: Fritz Haslinger (Wien) MSC: 32V20 32V30 32W10 32L20 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Huai-Dong; Sun, Xiaofeng; Yau, Shing-Tung; Zhang, Yingying On deformations of Fano manifolds. (English) Zbl 1534.32010 Math. Ann. 383, No. 1-2, 809-836 (2022). MSC: 32G07 32Q20 53C55 × 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
Ioos, Louis Anticanonically balanced metrics on Fano manifolds. (English) Zbl 1494.14040 Ann. Global Anal. Geom. 62, No. 1, 1-32 (2022). Reviewer: Julien Keller (Marseille) MSC: 14J45 32Q20 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darvas, Tamás; Wu, Kuang-Ru Griffiths extremality, interpolation of norms, and Kähler quantization. (English) Zbl 1495.32105 J. Geom. Anal. 32, No. 7, Paper No. 203, 27 p. (2022). MSC: 32W20 32U05 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Ashmore, Anthony; Deen, Rehan; He, Yang-Hui; Ovrut, Burt A. Machine learning line bundle connections. (English) Zbl 1489.14002 Phys. Lett., B 827, Article ID 136972, 9 p. (2022). MSC: 14-04 68T07 14D20 14J32 14H52 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manno, Gianni; Salis, Filippo 2-dimensional Kähler-Einstein metrics induced by finite dimensional complex projective spaces. (English) Zbl 1487.32144 New York J. Math. 28, 420-432 (2022). MSC: 32Q20 53C55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Paoletti, Roberto Szegö kernel equivariant asymptotics under Hamiltonian Lie group actions. (English) Zbl 1491.53087 J. Geom. Anal. 32, No. 4, Paper No. 112, 32 p. (2022). Reviewer: Tatyana Barron (London, Ontario) MSC: 53D20 53D50 30H10 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darvas, Tamás; Xia, Mingchen The closures of test configurations and algebraic singularity types. (English) Zbl 1487.32132 Adv. Math. 397, Article ID 108198, 56 p. (2022). MSC: 32Q15 32L05 32U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berndtsson, Bo (ed.); Fornaess, John Erik (ed.); Shcherbina, Nikolay (ed.) Geometric methods of complex analysis. Abstracts from the workshop held May 16–22, 2021 (hybrid meeting). (English) Zbl 1506.00045 Oberwolfach Rep. 18, No. 2, 1291-1345 (2021). MSC: 00B05 00B25 32-06 14-06 32Qxx 32Hxx 32Uxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Kewei Some refinements of the partial \(C^0\) estimate. (English) Zbl 1484.32005 Anal. PDE 14, No. 7, 2307-2326 (2021). MSC: 32A25 53E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Kwokwai; Conan Leung, Naichung; Li, Qin Bargmann-Fock sheaves on Kähler manifolds. (English) Zbl 1481.53108 Commun. Math. Phys. 388, No. 3, 1297-1322 (2021). MSC: 53D55 53D05 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takahashi, Ryosuke Geometric quantization of coupled Kähler-Einstein metrics. (English) Zbl 1478.32054 Anal. PDE 14, No. 6, 1817-1849 (2021). MSC: 32J27 32Q20 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charles, Laurent Analytic Berezin-Toeplitz operators. (English) Zbl 1478.32074 Math. Z. 299, No. 1-2, 1015-1035 (2021). MSC: 32Q15 47B35 32A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Xueyuan; Zhang, Genkai The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle. (English) Zbl 1478.32061 Geom. Dedicata 214, 489-517 (2021). MSC: 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiuxiong; Cheng, Jingrui On the constant scalar curvature Kähler metrics. II: Existence results. (English) Zbl 1477.14067 J. Am. Math. Soc. 34, No. 4, 937-1009 (2021). Reviewer: Yang Li (Cambridge) MSC: 14J32 53C55 53C21 35J30 35J60 35J96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dervan, Ruadhaí; Sektnan, Lars Martin Moduli theory, stability of fibrations and optimal symplectic connections. (English) Zbl 1517.32071 Geom. Topol. 25, No. 5, 2643-2697 (2021). MSC: 32Q26 53C55 14D06 14D20 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rubinstein, Yanir A.; Tian, Gang; Zhang, Kewei Basis divisors and balanced metrics. (English) Zbl 1480.14032 J. Reine Angew. Math. 778, 171-218 (2021). Reviewer: Xiangyu Zhou (Beijing) MSC: 14J45 32Q26 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hsiao, Chin-Yu; Li, Xiaoshan; Marinescu, George Equivariant Kodaira embedding for CR manifolds with circle action. (English) Zbl 1525.32022 Mich. Math. J. 70, No. 1, 55-113 (2021). Reviewer: Guokuan Shao (Zhuhai) MSC: 32V30 32A25 32L05 53C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Sano, Yuji; Tipler, Carl A moment map picture of relative balanced metrics on extremal Kähler manifolds. (English) Zbl 1482.53089 J. Geom. Anal. 31, No. 6, 5941-5973 (2021). Reviewer: Daniele Angella (Firenze) MSC: 53C55 32Q26 53D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Jingzhou; Sun, Song Projective embedding of log Riemann surfaces and K-stability. (English) Zbl 1471.32037 J. Geom. Anal. 31, No. 6, 5526-5554 (2021). MSC: 32Q26 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anderson, Lara B.; Gerdes, Mathis; Gray, James; Krippendorf, Sven; Raghuram, Nikhil; Ruehle, Fabian Moduli-dependent Calabi-Yau and SU(3)-structure metrics from machine learning. (English) Zbl 1466.83111 J. High Energy Phys. 2021, No. 5, Paper No. 13, 45 p. (2021). MSC: 83E30 81T12 32Q25 68T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Huayi Introduction to arithmetic Hilbert-Samuel theorems. (Introduction aux théorèmes de Hilbert-Samuel arithmétiques.) (French) Zbl 1458.14033 Peyre, Emmanuel (ed.) et al., Arakelov geometry and diophantine applications. Based on lectures given at the summer school, Grenoble, France, June 12–30, 2017. Cham: Springer. Lect. Notes Math. 2276, 77-103 (2021). MSC: 14G40 14-01 × Cite Format Result Cite Review PDF Full Text: DOI
Auvray, Hugues; Ma, Xiaonan; Marinescu, George Bergman kernels on punctured Riemann surfaces. (English) Zbl 1480.30034 Math. Ann. 379, No. 3-4, 951-1002 (2021). Reviewer: Harold P. Boas (College Station) MSC: 30F99 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Kwokwai; Leung, Naichung Conan; Li, Qin Quantization of Kähler manifolds. (English) Zbl 1465.53091 J. Geom. Phys. 163, Article ID 104143, 13 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53D55 58J20 81T15 81Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Birkar, Caucher Singularities of linear systems and boundedness of Fano varieties. (English) Zbl 1469.14085 Ann. Math. (2) 193, No. 2, 347-405 (2021). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J45 14E30 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hashimoto, Yoshinori Quantisation of extremal Kähler metrics. (English) Zbl 1460.32048 J. Geom. Anal. 31, No. 3, 2970-3028 (2021). MSC: 32Q15 32A25 53D50 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Feng; Zhu, Xiaohua Tian’s partial \(C^0\)-estimate implies Hamilton-Tian’s conjecture. (English) Zbl 1479.53105 Adv. Math. 381, Article ID 107619, 30 p. (2021). Reviewer: Ruadhaí Dervan (Cambridge) MSC: 53E20 32Q20 32Q10 58E11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boucksom, Sébastien; Eriksson, Dennis Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry. (English) Zbl 1460.32044 Adv. Math. 378, Article ID 107501, 125 p. (2021). MSC: 32P05 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ashmore, Anthony; He, Yang-Hui; Ovrut, Burt A. Machine learning Calabi-Yau metrics. (English) Zbl 1537.53003 Fortschr. Phys. 68, No. 9, Article ID 2000068, 23 p. (2020). MSC: 53-08 53D18 53C07 14J32 32Q25 68T20 68T05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hsiao, Chin-Yu; Shen, Wei-Chuan On the second coefficient of the asymptotic expansion of Boutet de Monvel-Sjöestrand. (English) Zbl 1471.32063 Bull. Inst. Math., Acad. Sin. (N.S.) 15, No. 4, 329-365 (2020). MSC: 32V20 32V30 32W10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ancona, Michele Expected number and distribution of critical points of real Lefschetz pencils. (Nombre et distribution attendue des points critiques de pinceaux de Lefschetz réels.) (English. French summary) Zbl 1457.14125 Ann. Inst. Fourier 70, No. 3, 1085-1113 (2020). MSC: 14P25 32U40 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rouby, Ophélie; Sjöstrand, Johannes; Vũ Ngọc San Analytic Bergman operators in the semiclassical limit. (English) Zbl 1469.32003 Duke Math. J. 169, No. 16, 3033-3097 (2020). Reviewer: Fritz Haslinger (Wien) MSC: 32A25 32W25 58J40 70H15 47B35 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Darvas, Tamás; Lu, Chinh H. Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry. (English) Zbl 1479.32011 Geom. Topol. 24, No. 4, 1907-1967 (2020). Reviewer: Eleonora Di Nezza (Bures-sur-Yvette) MSC: 32Q26 32U05 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loi, Andrea; Zuddas, Fabio Partially regular and cscK metrics. (English) Zbl 1452.53067 Int. J. Math. 31, No. 10, Article ID 2050079, 8 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D05 53C55 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ancona, Michele Critical points of random branched coverings of the Riemann sphere. (English) Zbl 1451.30083 Math. Z. 296, No. 3-4, 1735-1750 (2020). MSC: 30F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohsawa, Takeo A role of the \(L^2\) method in the study of analytic families. (English) Zbl 1462.32013 Ohsawa, Takeo (ed.) et al., Bousfield classes and Ohkawa’s theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28–30, 2015. Singapore: Springer. Springer Proc. Math. Stat. 309, 423-435 (2020). MSC: 32E40 32T05 32A25 32D15 32-02 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiuxiong; Wang, Bing Space of Ricci flows. II. Part B: Weak compactness of the flows. (English) Zbl 1479.53103 J. Differ. Geom. 116, No. 1, 1-123 (2020). Reviewer: Hông Vân Lê (Praha) MSC: 53E20 53E30 58D27 32Q20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Cui, Wei; Gray, James Numerical metrics, curvature expansions and Calabi-Yau manifolds. (English) Zbl 1437.83130 J. High Energy Phys. 2020, No. 5, Paper No. 44, 18 p. (2020). MSC: 83E30 14J32 32Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darvas, Tamás; Lu, Chinh H.; Rubinstein, Yanir A. Quantization in geometric pluripotential theory. (English) Zbl 1445.53062 Commun. Pure Appl. Math. 73, No. 5, 1100-1138 (2020). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 58D17 58B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayraktar, Turgay; Coman, Dan; Marinescu, George Universality results for zeros of random holomorphic sections. (English) Zbl 1457.32013 Trans. Am. Math. Soc. 373, No. 6, 3765-3791 (2020). Reviewer: Harold P. Boas (College Station) MSC: 32A60 60D05 32L10 32C20 32U40 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ohsawa, Takeo A survey on the \(L^2\) extension theorems. (English) Zbl 1436.32042 J. Geom. Anal. 30, No. 2, 1366-1395 (2020). MSC: 32E40 32T05 32A25 32-02 × Cite Format Result Cite Review PDF Full Text: DOI
Hedenmalm, Haakan; Wennman, Aron Off-spectral analysis of Bergman kernels. (English) Zbl 1473.30033 Commun. Math. Phys. 373, No. 3, 1049-1083 (2020). Reviewer: Alan A. Sola (Stockholm) MSC: 30H20 31A15 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Xueyuan; Zhang, Genkai Norm estimates and asymptotic faithfulness of the quantum \(SU (n)\) representations of the mapping class group. (English) Zbl 1507.57025 Geom. Dedicata 204, 377-385 (2020). MSC: 57R56 57K20 14D21 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loi, Andrea; Mossa, Roberto; Zuddas, Fabio Finite TYCZ expansions and cscK metrics. (English) Zbl 1431.53078 J. Math. Anal. Appl. 484, No. 1, Article ID 123715, 20 p. (2020). MSC: 53C55 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aryasomayajula, Anilatmaja; Biswas, Indranil Bergman kernel on Riemann surfaces and Kähler metric on symmetric products. (English) Zbl 1439.30063 Int. J. Math. 30, No. 14, Article ID 1950071, 18 p. (2019). MSC: 30F10 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lahdili, Abdellah Kähler metrics with constant weighted scalar curvature and weighted K-stability. (English) Zbl 1430.53075 Proc. Lond. Math. Soc. (3) 119, No. 4, 1065-1114 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 32Q15 58D17 58B20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Bo; Zheng, Fangyang Hirzebruch manifolds and positive holomorphic sectional curvature. (Variétés de Hirzebruch et courbure sectionnelle holomorphe positive.) (English. French summary) Zbl 1428.53082 Ann. Inst. Fourier 69, No. 6, 2589-2634 (2019). MSC: 53C55 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashimoto, Yoshinori Relative stability associated to quantised extremal Kähler metrics. (English) Zbl 1429.32043 J. Math. Soc. Japan 71, No. 3, 861-880 (2019). MSC: 32Q26 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kordyukov, Yuri A.; Ma, Xiaonan; Marinescu, George Generalized Bergman kernels on symplectic manifolds of bounded geometry. (English) Zbl 1425.58016 Commun. Partial Differ. Equations 44, No. 11, 1037-1071 (2019). MSC: 58J37 53D05 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coman, Dan; Klevtsov, Semyon; Marinescu, George Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces. (English) Zbl 1429.32004 Indiana Univ. Math. J. 68, No. 2, 593-628 (2019). Reviewer: Liwei Chen (Columbus) MSC: 32A25 32A36 30F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hsiao, Chin-Yu; Shao, Guokuan Equidistribution theorems on strongly pseudoconvex domains. (English) Zbl 1429.32051 Trans. Am. Math. Soc. 372, No. 2, 1113-1137 (2019). Reviewer: Masoud Sabzevari (Shahr-e Kord) MSC: 32V20 32W10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angella, Daniele; Zedda, Michela Isometric immersions of locally conformally Kähler manifolds. (English) Zbl 1425.53027 Ann. Global Anal. Geom. 56, No. 1, 37-55 (2019). Reviewer: Marco Abate (Pisa) MSC: 53B35 53C55 32H02 53A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loi, Andrea; Mossa, Roberto; Zuddas, Fabio Bochner coordinates on flag manifolds. (English) Zbl 1416.53075 Bull. Braz. Math. Soc. (N.S.) 50, No. 2, 497-514 (2019). MSC: 53D05 53C55 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abreu, Luís Daniel; Gröchenig, Karlheinz; Romero, José Luis Harmonic analysis in phase space and finite Weyl-Heisenberg ensembles. (English) Zbl 1417.81175 J. Stat. Phys. 174, No. 5, 1104-1136 (2019). MSC: 81V70 35R03 81S30 60G55 82B30 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Renjie Correlations between zeros and critical points of random analytic functions. (English) Zbl 1484.32040 Trans. Am. Math. Soc. 371, No. 8, 5247-5265 (2019). MSC: 32Q15 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv