Zobrazeno 1 - 10
of 1 064
pro vyhledávání: '"Zhou, Xiangyu"'
Autor:
Xu, Wang, Zhou, Xiangyu
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G3, Pp 679-683 (2023)
We establish several optimal $L^2$ extension theorems of openness type on weakly pseudoconvex Kähler manifolds. We prove a product property for certain minimal $L^2$ extensions, which generalizes the product property of Bergman kernels. We describe
Externí odkaz:
https://doaj.org/article/f3bedf292d054d328b65e369e838accb
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G11, Pp 1205-1212 (2022)
In this note, we establish the strong openness and stability property of multiplier submodule sheaves associated to singular Nakano semi-positive metrics on holomorphic vector bundles, which generalizes the same properties for multiplier ideal sheave
Externí odkaz:
https://doaj.org/article/171c93acaf354bcabf336b7ed9bb33c2
Autor:
Roshani, Mohammad Amin, Zhou, Xiangyu, Qiang, Yao, Suresh, Srinivasan, Hicks, Steve, Sethuraman, Usha, Zhu, Dongxiao
Large language models (LLMs) have shown remarkable capabilities in various natural language tasks and are increasingly being applied in healthcare domains. This work demonstrates a new LLM-powered disease risk assessment approach via streaming human-
Externí odkaz:
http://arxiv.org/abs/2409.15027
We first present the mixed Hilbert-Samuel multiplicities of analytic local rings over \mathbb{C} as generalized Lelong numbers and further represent them as intersection numbers in the context of modifications. As applications, we give estimates or a
Externí odkaz:
http://arxiv.org/abs/2409.09407
We prove that the irreducible desingularization of a singularity given by the Grauert blow down of a negative holomorphic vector bundle over a compact complex manifold is unique up to isomorphism, and as an application, we show that two negative line
Externí odkaz:
http://arxiv.org/abs/2409.09402
Vision Transformer and its variants have been adopted in many visual tasks due to their powerful capabilities, which also bring significant challenges in computation and storage. Consequently, researchers have introduced various compression methods i
Externí odkaz:
http://arxiv.org/abs/2407.16716
Autor:
Ning, Jiafu, Zhou, Xiangyu
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 3, Pp 321-326 (2020)
In this paper, we generalize a theorem of A. Kodama about boundedness of hyperbolic circular domains. We will prove that if $K$ is a compact Lie group which acts linearly on $\mathbb{C}^n$ with $\mathcal{O}(\mathbb{C}^n)^K=\mathbb{C}$, and $\Omega $
Externí odkaz:
https://doaj.org/article/101674beb1be46e99b3c0b027c49f061
In this paper, we present a converse to a version of Skoda's $L^2$ division theorem by investigating the solvability of $\bar{\partial}$ equations of a specific type.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/2405.18713
Autor:
He, Bojie, Zhou, Xiangyu
The goals of this paper are of two aspects. Firstly, we introduce the notion of generalized numerical Kodaira dimension with multiplier ideal sheaf and establish the subadditivity inequalities in terms of this notion, which can be used to give an ana
Externí odkaz:
http://arxiv.org/abs/2405.08265
In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semipositive singular Hermitian metric to the tautological line bundle w
Externí odkaz:
http://arxiv.org/abs/2405.07261