Algebraic and Kähler geometry

Cohomology groups of holomorphic bundles and Chern classes

Author(s): Wu, Xiaojun
Published in: "Algebraic Geometry [math.AG]. Université Grenoble Alpes [2020-..], 2020. English. ⟨NNT : 2020GRALM072⟩", Issue 1, 2020
Publisher: HAL

Geometric Complex Analysis - In Honor of Kang-Tae Kim’s 60th Birthday, Gyeongju, Korea, 2017

Author(s): Jisoo Byun; Hong Rae Cho; Sung Yeon Kim; Kang-Hyurk Lee; Jong-Do Park
Published in: Springer Proceedings in Mathematics & Statistics, Issue 1, 2018, ISBN 9811316716
Publisher: Springer

Geometric Complex Analysis - In Honor of Kang-Tae Kim’s 60th Birthday, Gyeongju, Korea, 2017

Author(s): Jisoo Byun, Hong Rae Cho, Sung Yeon Kim, Kang-Hyurk Lee, Jong-Do Park
Published in: Springer Proceedings in Mathematics & Statistics, 2018, ISBN 978-981-13-1672-2
Publisher: Springer Singapore
DOI: 10.1007/978-981-13-1672-2

On a vanishing theorem due to Bogomolov

Author(s): Wu, Xiaojun
Published in: Issue 1, 2020
Publisher: arXiv

On the locus of higher order jets of entire curves in complex projective varieties

Author(s): Demailly, Jean-Pierre
Published in: https://hal.archives-ouvertes.fr/hal-03258133, Issue 1, 2021
Publisher: HAL

The space of finite-energy metrics over a degeneration

Author(s): Rémi Reboulet
Published in: 2021
Publisher: arXiv

"On the K\""ahler cone of irreducible symplectic orbifolds"

Author(s): Menet, Grégoire; Rieß, Ulrike
Published in: Issue 1, 2020
Publisher: arXiv

Semiclassical Ohsawa-Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel

Author(s): Finski, Siarhei
Published in: https://hal.archives-ouvertes.fr/hal-03345077, Issue 1, 2021
Publisher: HAL

An almost complex Chern-Ricci flow

Author(s): Zheng, Tao
Published in: Issue 1, 2017
Publisher: arXiv

On the Nakano vanishing theorem

Author(s): Wu, Xiaojun
Published in: Issue 1, 2020
Publisher: arXiv

Cohomology classes of complex approximable algebras

Author(s): Catriona Maclean
Published in: 2021
Publisher: arXiv

On characteristic forms of positive vector bundles, mixed discriminants and pushforward identities

Author(s): Finski, Siarhei
Published in: 2020, Issue 1, 2020
Publisher: HAL

Complex plurisubharmonic geodesics via the generalized Legendre transform to the Okounkov body

Author(s): Rémi Reboulet
Published in: 2021
Publisher: arXiv

Random pseudometrics and applications

Author(s): Vivek Dewan, Damien Gayet
Published in: 2020
Publisher: arXiv

Codimension one foliations with trivial canonical class on singular spaces II

Author(s): Druel, Stéphane; Ou, Wenhao
Published in: Issue 1, 2019
Publisher: arXiv

Asymptotic topology of excursion and nodal sets of Gaussian random fields

Author(s): Damien Gayet
Published in: 2021
Publisher: arXiv

Intersection theory and Chern classes in Bott-Chern cohomology

Author(s): Wu, Xiaojun
Published in: Issue 1, 2020
Publisher: arXiv

Remark on nefness in higher codimension

Author(s): Wu, Xiaojun
Published in: Issue 1, 2020
Publisher: arXiv

Codimension one foliations with numerically trivial canonical class on singular spaces

Author(s): Druel, Stéphane
Published in: Issue 1, 2018
Publisher: arXiv

On Junyan Cao's vanishing theorem for pseudoeffective line bundles

Author(s): Wu, Xiaojun
Published in: Issue 1, 2020
Publisher: arXiv

The Bogomolov inequality on a singular complex space

Author(s): Xiaojun Wu
Published in: 2021
Publisher: arXiv

On the existence of logarithmic and orbifold jet differentials

Author(s): Frédéric Campana, Lionel Darondeau, Jean-Pierre Demailly, Erwan Rousseau
Published in: 2021
Publisher: HAL

Bergman bundles and applications to the geometry of compact complex manifolds

Author(s): Demailly, Jean-Pierre
Published in: https://hal.archives-ouvertes.fr/hal-02501656, Issue 1, 2020
Publisher: HAL

Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy

Author(s): Rémi Reboulet
Published in: 2020
Publisher: arXiv

Characterization of generic projective space bundles and algebraicity of foliations

Author(s): Druel, Stéphane, Araujo, Carolina
Published in: arXiv preprint, Issue November 2017, 2017, Page(s) 13 pages
Publisher: arXiv

Smooth equivalence of deformations of domains in complex euclidean spaces

Author(s): Hervé Gaussier, Xianghong Gong
Published in: arXiv preprint, 2017
Publisher: arXiv

An approach to Griffiths conjecture

Author(s): Philipp Naumann
Published in: arXiv preprint, 2017
Publisher: arXiv

Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations

Author(s): Young-Jun Choi
Published in: arXiv preprint, 2017
Publisher: arXiv

Strict convexity of the Mabuchi functional for energy minimizers

Author(s): Long Li
Published in: arXiv preprint, 2017
Publisher: arXiv

Regularization of plurisubharmonic functions with a net of good points

Author(s): Long Li
Published in: arXiv preprint, 2017
Publisher: arXiv

Percolation without FKG

Author(s): Beffara, Vincent; Gayet, Damien
Published in: IF_PREPUB. 2018, Issue 3, 2018
Publisher: Institut Fourier

Recent results on the Kobayashi and Green-Griffiths-Lang conjectures

Author(s): Demailly, Jean-Pierre
Published in: https://hal.archives-ouvertes.fr/hal-01683413, Issue 1, 2018
Publisher: Institut Fourier

Applications of the Ohsawa-Takegoshi Extension Theorem to Direct Image Problems

Author(s): Deng, Ya
Published in: 2017, Issue 2, 2017
Publisher: HAL server

On the Diverio-Trapani Conjecture

Author(s): Deng, Ya
Published in: 2017, Issue 1, 2017
Publisher: HAL server

Geometry of universal embedding spaces for almost complex manifolds

Author(s): Clemente, Gabriella
Published in: https://hal.archives-ouvertes.fr/hal-02128236, Issue 21, 2019
Publisher: HAL

Erratum to the paper: Integral cohomology of the Generalized Kummer fourfold

Author(s): Kapfer, Simon; Menet, Grégoire
Published in: Issue 36, 2019
Publisher: HAL

A technical remark on the Donaldson-Futaki invariant for Fano reductive group compactifications

Author(s): Clemente, Gabriella
Published in: https://hal.archives-ouvertes.fr/hal-02267071, Issue 40, 2019
Publisher: arXiv

Bergman bundles and applications to the geometry of compact complex manifolds

Author(s): Demailly, Jean-Pierre
Published in: 2020, Issue 9, 2020
Publisher: HAL

Integral cohomology of quotients via toric geometry

Author(s): Menet, Grégoire
Published in: Issue 12, 2019
Publisher: HAL

Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles

Author(s): Demailly, Jean-Pierre
Published in: 2020, Issue 1, 2020
Publisher: HAL

Systoles and Lagrangians of random complex algebraic hypersurfaces

Author(s): Gayet, Damien
Published in: https://hal.archives-ouvertes.fr/hal-02291824, Issue 25, 2019
Publisher: HAL

The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds

Author(s): Feng, Ke; Ge, Huabin; Zheng, Tao
Published in: Issue 1, 2019
Publisher: arXiv

On Monge-Ampère volumes of direct images

Author(s): Finski, Siarhei
Published in: 2020, Issue 1, 2020
Publisher: HAL

Pseudo-effective and numerically flat reflexive sheaves

Author(s): Wu, Xiaojun
Published in: Issue 1, 2020
Publisher: arXiv

Finite difference method on flat surfaces with a flat unitary vector bundle

Author(s): Siarhei Finski
Published in: 2020
Publisher: arXiv

The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli

Author(s): Aguilar, Rodolfo,
Published in: 2020, Issue 1, 2020
Publisher: HAL

On the positivity of the cotangent bundle of quotients of products of curves

Author(s): Juliana Restrepo Velasquez
Published in: 2021
Publisher: 8th European Congress of Mathematics

Approximable Algebras as Subalgebras of Section Rings

Author(s): Catriona Maclean
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa065

Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles

Author(s): J.-P. Demailly
Published in: Sbornik: Mathematics, Issue 212/3, 2021, Page(s) 305-318, ISSN 1064-5616
Publisher: London Mathematical Society
DOI: 10.1070/sm9387

Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

Author(s): Siarhei Finski
Published in: Comptes Rendus. Mathématique, Issue Tome 358, 2020, Page(s) 743-751, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.5802/crmath.94

Characterization of generic projective space bundles and algebraicity of foliations

Author(s): Carolina Araujo, Stéphane Druel
Published in: Commentarii Mathematici Helvetici, Issue 94/4, 2019, Page(s) 833-853, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/475

Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc

Author(s): Filippo Bracci, Manuel Contreras, Santiago Díaz-Madrigal, Hervé Gaussier
Published in: Transactions of the American Mathematical Society, Issue 373/2, 2020, Page(s) 939-969, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7977

Isoperimetric inequality along the twisted Kähler–Ricci flow

Author(s): Shouwen Fang, Tao Zheng
Published in: Differential Geometry and its Applications, Issue 56, 2018, Page(s) 54-66, ISSN 0926-2245
Publisher: Elsevier BV
DOI: 10.1016/j.difgeo.2017.11.001

On Monge–Ampère Volumes of Direct Images

Author(s): Siarhei Finski
Published in: International Mathematics Research Notices, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab058

The asymptotic Fubini-Study operator over general non-Archimedean fields

Author(s): Rémi Reboulet
Published in: Mathematische Zeitschrift, Issue 299/3-4, 2021, Page(s) 2341-2378, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-021-02770-2

On the Diverio-Trapani conjecture

Author(s): Ya DENG
Published in: Annales scientifiques de l'École normale supérieure, Issue 53/3, 2020, Page(s) 787-814, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2434

Newton–Okounkov theory in an abstract setting

Author(s): Alex Küronya, Catriona Maclean, Joaquim Roé
Published in: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Issue 62/2, 2021, Page(s) 375-395, ISSN 0138-4821
Publisher: Heldermann Verlag
DOI: 10.1007/s13366-020-00558-9

Homeomorphic extension of quasi-isometries for convex domains in $${\mathbb {C}}^d$$ and iteration theory

Author(s): Filippo Bracci, Hervé Gaussier, Andrew Zimmer
Published in: Mathematische Annalen, Issue 379/1-2, 2021, Page(s) 691-718, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-020-01954-1

The fundamental group of partial compactifications of the complement of a real line arrangement

Author(s): Rodolfo Aguilar Aguilar
Published in: Topology and its Applications, Issue 283, 2020, Page(s) 107388, ISSN 0166-8641
Publisher: Elsevier BV
DOI: 10.1016/j.topol.2020.107388

Unbounded Kobayashi Hyperbolic Domains in $${\mathbb {C}}^n$$

Author(s): Hervé Gaussier, Nikolay Shcherbina
Published in: Mathematische Zeitschrift, Issue 298/1-2, 2021, Page(s) 289-305, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02596-4

Horosphere topology

Author(s): Filippo Bracci, Hervé Gaussier
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020, Page(s) 239-289, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.201710_004

Some remarks on regular foliations with numerically trivial canonical class

Author(s): Druel Stéphane
Published in: EPIGA, Issue 1, article Nr 4, 2017, Page(s) 1-20, ISSN 2491-6765
Publisher: Episciences

A proof of the Muir–Suffridge conjecture for convex maps of the unit ball in $${\mathbb {C}}^n$$ C n

Author(s): Filippo Bracci, Hervé Gaussier
Published in: Mathematische Annalen, 2017, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-017-1581-8

Higher dimensional generalizations of twistor spaces

Author(s): Hai Lin, Tao Zheng
Published in: Journal of Geometry and Physics, Issue 114, 2017, Page(s) 492-505, ISSN 0393-0440
Publisher: Elsevier BV
DOI: 10.1016/j.geomphys.2016.12.018

Morse cohomology estimates for jet differential operators

Author(s): Jean-Pierre Demailly, Mohammad Reza Rahmati
Published in: Bollettino dell'Unione Matematica Italiana, 2018, ISSN 1972-6724
Publisher: Unione Matematica Italiana
DOI: 10.1007/s40574-018-0172-2

An Almost Complex Chern–Ricci Flow

Author(s): Tao Zheng
Published in: The Journal of Geometric Analysis, Issue 28/3, 2018, Page(s) 2129-2165, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-017-9898-9

A general extension theorem for cohomology classes on non reduced analytic spaces: dedicated to the memory of Professor Qikeng Lu

Author(s): Junyan Cao; Jean-Pierre Demailly; Shin-ichi Matsumura
Published in: Science China Mathematics, Issue periodical, volume 60, 2017, ISSN 1674-7283
Publisher: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-017-9066-0

On Foliations with Semi-positive Anti-canonical Bundle

Author(s): Stéphane Druel
Published in: Bulletin of the Brazilian Mathematical Society, New Series, Issue 50/1, 2019, Page(s) 315-321, ISSN 1678-7544
Publisher: Sociedade Brasileira de Matematica
DOI: 10.1007/s00574-018-00128-7

On the Diverio-Trapani Conjecture

Author(s): Deng, Ya
Published in: Annales scientifiques de l'Ecole normale supérieure, In press, Issue 4, 2020, ISSN 0012-9593
Publisher: Elsevier BV

Recent results on the Kobayashi and Green-Griffiths-Lang conjectures

Author(s): Jean-Pierre Demailly
Published in: Japanese Journal of Mathematics, Issue 15/1, 2020, Page(s) 1-120, ISSN 0289-2316
Publisher: Kinokuniya Co., Ltd.
DOI: 10.1007/s11537-019-1566-3

The space of convex domains in complex Euclidean space

Author(s): Hervé Gaussier, Andrew Zimmer
Published in: The Journal of Geometric Analysis, Issue 30/2, 2020, Page(s) 1312-1358, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00346-5

Asymptotic behavior of orbits of holomorphic semigroups

Author(s): Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal, Hervé Gaussier, Andrew Zimmer
Published in: Journal de Mathématiques Pures et Appliquées, Issue 133, 2020, Page(s) 263-286, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2019.05.005

Extension with log-canonical measures and an improvement to the plt extension of Demailly–Hacon–Păun

Author(s): Tsz On Mario Chan, Young-Jun Choi
Published in: Mathematische Annalen, 2021, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-021-02152-3

On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four

Author(s): Lie Fu, Grégoire Menet
Published in: Mathematische Zeitschrift, Issue 299/1-2, 2021, Page(s) 203-231, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02682-7

Concave transforms of filtrations and rationality of Seshadri constants

Author(s): Alex Küronya, Catriona Maclean, Joaquim Roé
Published in: Transactions of the American Mathematical Society, 2021, Page(s) 1, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8345

A Parabolic Monge–Ampère Type Equation of Gauduchon Metrics

Author(s): Tao Zheng
Published in: International Mathematics Research Notices, Issue 2019/17, 2017, Page(s) 5497-5538, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx285

Transverse fully nonlinear equations on Sasakian manifolds and applications

Author(s): Ke Feng, Tao Zheng
Published in: Advances in Mathematics, Issue 357, 2019, Page(s) 106830, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2019.106830

Extension of Holomorphic Functions and Cohomology Classes from Non Reduced Analytic Subvarieties

Author(s): Jean-Pierre Demailly
Published in: Geometric Complex Analysis - In Honor of Kang-Tae Kim’s 60th Birthday, Gyeongju, Korea, 2017, Issue 246, 2018, Page(s) 97-113, ISBN 978-981-13-1671-5
Publisher: Springer Singapore
DOI: 10.1007/978-981-13-1672-2_8

Extension of holomorphic functions defined on non reduced analytic subvarieties

Author(s): Jean-Pierre Demailly
Published in: Ji, Lizhen (ed.) et al., The legacy of Bernhard Riemann after one hundred and fifty years. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press, Issue Lectures in Mathematics (ALM 35), 2016, ISBN 978-1-57146-318-0
Publisher: International Press

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