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SHEAVES: 作品数：26被引量：15H指数：2; 导出分析报告; 相关领域：理学金属学及工艺更多>>; 相关期刊：《Peking Mathematical Journal》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划福建省自然科学基金更多>>

Stable reflexive sheaves over compact Gauduchon manifolds: 《Science China Mathematics》2025年第4期891-916,共26页Zeng Chen Chuanjing Zhang; supported by the National Key R&D Program of China(Grant No.2020YFA0713100);National Natural Science Foundation of China(Grant Nos.12371062,12141104,and11801535);the Fundamental Research Funds for the Central Universities。; In this paper,we obtain the Hermitian-Einstein metrics on stable reflexive sheaves over compact Gauduchon manifolds.; 关键词：compact Gauduchon manifold stable reflexive sheaf Hermitian-Einstein metric

Nadel-type multiplier ideal sheaves on complex spaces with singularities: 《Science China Mathematics》2024年第5期951-974,共24页Zhenqian Li; In this article,we introduce multiplier ideal sheaves on complex spaces with singularities(not necessarily normal)via Ohsawa’s extension measure,as a special case of which,it turns out to be the socalled Mather-Jacob...; 关键词：multiplier ideal sheaves plurisubharmonic functions Ohsawa-Takegoshi Luextension theorem rational singularities

Character Sheaves for Classical Graded Lie Algebras: 《Acta Mathematica Sinica,English Series》2024年第3期870-884,共15页Ting XUE; Supported by Australian Research Council(Grant No.DP150103525)。; In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type Ⅱ classical graded Lie algebras.; 关键词：Graded Lie algebras character sheaves Fourier transform nilpotent orbits

Concavity of Minimal L^(2) Integrals Related to Multiplier Ideal Sheaves被引量：2: 《Peking Mathematical Journal》2023年第2期393-457,共65页Qi’an Guan Zhitong Mi; The first author was supported by NSFC-11825101,NSFC-11522101 and NSFC-11431013.; In this article,we present the concavity of the minimal L^(2) integrals related to multiplier ideals sheaves on Stein manifolds.As applications,we obtain a necessary condition for the concavity degenerating to lineari...; 关键词：Strong openness conjecture Multiplier ideal sheaf Plurisubharmonic function Sublevel set

Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate被引量：1: 《Science China Mathematics》2023年第12期2819-2834,共16页Ping Xi; supported by National Natural Science Foundation of China (Grant Nos. 12025106 and 11971370)。; We prove non-trivial upper bounds for general bilinear forms with trace functions of bountiful sheaves,where the supports of two variables can be arbitrary subsets in F_(p) of suitable sizes.This essentially recovers ...; 关键词：bilinear forms l-adic sheaves Riemann Hypothesis over finite fields Sato-Tate distribution Kloosterman sums elliptic curves

Langton's Type Theorem on Algebraic Orbifolds: 《Acta Mathematica Sinica,English Series》2023年第4期584-602,共19页Yong Hong HUANG; Supported by the Fundamental Research Funds for the Central Universities,Sun Yat-sen University (Grant No.34000-31610293)。; In this paper,we prove the Langton’s type theorem on separatedness and properness for the moduli functor of torsion free semistable sheaves on algebraic orbifolds over an algebraically closed field k.; 关键词：Algebraic orbifolds moduli functor torsion free sheaves separatedness and properness

Sheaves on non-reduced curves in a projective surface: 《Science China Mathematics》2023年第2期237-250,共14页Yao Yuan; supported by National Natural Science Foundation of China(Grant Nos.21022107 and 11771229)。; Sheaves on non-reduced curves can appear in moduli spaces of 1-dimensional semistable sheaves over a surface and moduli spaces of Higgs bundles as well.We estimate the dimension of the stack M_(X)(nC,χ)of pure sheave...; 关键词：1-dimensional pure sheaves on projective surfaces Hilbert-Chow morphism Hitchin fibration STACK

Stability of Multiplier Ideal Sheaves: 《Chinese Annals of Mathematics,Series B》2022年第5期819-832,共14页Qi'an GUAN Zhenqian LI Xiangyu ZHOU; supported by the National Natural Science Foundation of China(Nos.11431013,11825101,11522101,11688101);the National Key R&D Program of China(No.2021YFA1003100)。; In the present article, the authors find and establish stability of multiplier ideal sheaves, which is more general than strong openness.; 关键词：Plurisubharmonic function Multiplier ideal sheaf Strong openness and stability Coherent analytic sheaf L^(2)estimate

Seattering Diagrams,Sheaves,and Curves: 《Acta Mathematica Sinica,English Series》2021年第7期1005-1022,共18页Pierrick BOUSSEAU; We review the recent proof of the N.Takahashi's conjecture on genus 0 Gromov Witten invariants of(P^(2),E),where E is a smooth cubic curve in the complex projective plane P^(2).The main idea is the use of the algebrai...; 关键词：moduli spaces Gromov-Witten invariants coherent sheaves scattering diagrams

On the Relative Twist Formula of l-adic Sheaves被引量：1: 《Acta Mathematica Sinica,English Series》2021年第1期73-94,共22页En Lin YANG Yi Geng ZHAO; Peking University’s Starting(Grant No.7101302006)。; We propose a conjecture on the relative twist formula of l-adic sheaves,which can be viewed as a generalization of Kato-Saito’s conjecture.We verify this conjecture under some transversal assumptions.We also define a...; 关键词：Epsilon factor twist formula cohomological characteristic class Künneth formula

SHEAVES