Zobrazeno 1 - 10
of 353
pro vyhledávání: '"32D15"'
Autor:
Aoki, Hiroki, Saito, Kyoji
We consider a formal power series in one variable whose coefficients are holomorphic functions in a given multidimensional complex domain. Assume the following two conditions on the series. (C1) The restriction of the series at each point of a dense
Externí odkaz:
http://arxiv.org/abs/2411.10641
Non-existence of a holomorphic imbedding of the Sobolev loop space into the Hilbert projective space
Autor:
M., Anakkar, Ivashkovich, S.
The goal of this paper is to understand the properties of meromorphic mappings with values in two model complex Hibert manifolds: Hilbert projective space $\pp(l^2)$ and Sobolev loop space of the Riemann sphere $L\pp^1$. It occurs that these properti
Externí odkaz:
http://arxiv.org/abs/2406.01404
Autor:
Wang, Xieping
The celebrated Ohsawa--Takegoshi extension theorem for $L^2$ holomorphic functions on bounded pseudoconvex domains in $\mathbb C^n$ is a fundamental result in several complex variables and complex geometry. Ohsawa conjectured in 1995 that the same th
Externí odkaz:
http://arxiv.org/abs/2304.11007
In this paper, we establish the log-plurisubharmonicity of fiberwise $\xi$-Bergman kernels for a family of variant functionals, thereby addressing a question posed by Bo Berndtsson to the authors. As an application, we prove that for a plurisubharmon
Externí odkaz:
http://arxiv.org/abs/2303.16525
In the present note, we introduce the $\xi-$complex singularity exponents, which come from the asymptotic property of $\xi-$Bergman kernels on sub-level sets of plurisubharmonic functions; give some relations (including a closedness property) among $
Externí odkaz:
http://arxiv.org/abs/2212.01561
In this article, we present characterizations of the concavity property of minimal $L^2$ integrals degenerating to linearity in the case of fibrations over open Riemann surfaces. As applications, we obtain characterizations of the holding of equality
Externí odkaz:
http://arxiv.org/abs/2211.00470
Autor:
Bao, Shijie, Guan, Qi'an
In this article, we consider Bergman kernels related to modules at boundary points for singular hermitian metrics on holomorphic vector bundles, and obtain a log-subharmonicity property of the Bergman kernels. As applications, we obtain a lower estim
Externí odkaz:
http://arxiv.org/abs/2210.16601
Autor:
Wang, Xieping
Publikováno v:
Indiana Univ. Math. J. 73 (2024), 1929-1936
Inspired by Chen-Wu-Wang (Math. Ann. 362: 305--319, 2015), we prove a Hartogs type extension theorem for plurisubharmonic functions across a compact complete pluripolar set, which is complementary to a classical theorem of Shiffman.
Comment: 6 p
Comment: 6 p
Externí odkaz:
http://arxiv.org/abs/2210.01416
Autor:
Jain, Aakanksha, Verma, Kaushal
Boundary Behaviour of Weighted Bergman Kernels: For a planar domain $D \subset \mathbb{C}$ and an admissible weight function $\mu$ on it, some aspects of the boundary behaviour of the corresponding weighted Bergman kernel $K_{D, \mu}$ are studied. Fi
Externí odkaz:
http://arxiv.org/abs/2210.00219
Autor:
Finski, Siarhei
The main goal of this article is to study for a projective manifold and an ample line bundle over it the relation between metric and algebraic structures on the associated section ring. More precisely, we prove that once the kernel is factored out, t
Externí odkaz:
http://arxiv.org/abs/2209.03853