Results 51 to 60 of about 7,386 (155)
Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
wiley +1 more source
The Bergman Kernel on Some Hartogs Domains [PDF]
The Journal of Geometric Analysis, 2016 We obtain new explicit formulas for the Bergman kernel function on two families of Hartogs domains. To do so, we first compute the Bergman kernels on the slices of these Hartogs domains with some coordinates fixed, evaluate these kernel functions at certain points off the diagonal, and then apply a first order differential operator to them.
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Bergman kernels on degenerations
Mathematische Zeitschrift24 pages, some typos ...
Wang, Linsheng, Zhou, Shengxuan
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A remark on weighted Bergman kernels on orbifolds
, 2011 In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in the companion paper to prove an orbifold version of Donaldson ...
Dai, Xianzhe, Liu, Kefeng, Ma, Xiaonan
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Comparison of the Bergman and Szegö kernels
Advances in Mathematics, 2011 15 ...
Chen, Bo-Yong, Fu, Siqi
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Bergman kernels and local holomorphic Morse inequalities
, 2002 Let X be a hermitian manifold and let L^k be a high power of a hermitian line bundle over X. Local versions of Demailly's holomorphic Morse inequalities are presented - after integration they yield the usual inequalities. The local weak inequalities hold
Berman, Robert
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A Bergman kernel proof of the Kawamata subadjunction theorem
, 2008 The main purpose of the following article is to give a proof of Y. Kawamata's celebrated subadjunction theorem in the spirit of our previous work on Bergman kernels. We will use two main ingredients : an $\displaystyle L^{2\over m}$--extension theorem of
Berndtsson, Bo, Paun, Mihai
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Bergman kernel and hyperconvexity index [PDF]
Analysis & PDE, 2017 Let $ \subset {\mathbb C}^n$ be a bounded domain with the hyperconvexity index $ ( )>0$. Let $\varrho$ be the relative extremal function of a fixed closed ball in $ $ and set $ :=|\varrho|(1+|\log|\varrho||)^{-1}$, $ :=|\varrho|(1+|\log|\varrho||)^n$. We obtain the following estimates for the Bergman kernel: (1) For every $00$ such that $\int_
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Koppelman formulas on Grassmannians
, 2007 We construct Koppelman formulas on Grassmannians for forms with values in any holomorphic line bundle as well as in the tautological vector bundle and its dual. As a consequence we obtain some vanishing theorems of the Bott-Borel-Weil type.
Götmark, Elin +2 more
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