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VARIETIES: 作品数：662被引量：954H指数：14; 导出分析报告; 相关作者：王云李春华潘晓华石庆华谭雪明更多>>; 相关机构：四川省农业科学院云南省农业科学院湖南农业大学绵阳市农业科学研究院更多>>; 相关期刊：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国家高技术研究发展计划国家现代农业产业技术体系建设项目更多>>

Chow’s Theorem for Semi-abelian Varieties and Bounds for Splitting Fields of Algebraic Tori: 《Acta Mathematica Sinica,English Series》2019年第9期1453-1463,共11页Chia Fu YU; supported by the MoST(Grant Nos.104-2115-M-001-001-MY3 and 107-2115-M-001-001-MY2); A theorem of Chow concerns homomorphisms of two abelian varieties under a primary field extension base change. In this paper, we generalize Chow’s theorem to semi-abelian varieties.This contributes to different proof...; 关键词：ALGEBRAIC TORI SPLITTING fields semi-abelian VARIETIES inverse GALOIS problem

Embeddings of Spherical Homogeneous Spaces: 《Acta Mathematica Sinica,English Series》2018年第3期299-340,共42页Jacopo GANDINI; We review in these notes the theory of equivariant embeddings of spherical homogeneous spaces. Given a spherical homogeneous space G/H, the normal equivariant embeddings of G/H are classified by combinatorial objects ...; 关键词：Spherical varieties homogeneous spaces

Sanya Lectures: Geometry of Spherical Varieties: 《Acta Mathematica Sinica,English Series》2018年第3期371-416,共46页Nicolas PERRIN; These are expanded notes from lectures on the geometry of spherical varieties given in Sanya. We review some aspects of the geometry of spherical varieties. We first describe the structure of B-orbits. Using the local...; 关键词：Spherical varieties ORBITS local structure DIVISORS CURVES

Lectures on Wonderful Varieties: 《Acta Mathematica Sinica,English Series》2018年第3期417-438,共22页Guido PEZZINI; These notes are an introduction to wonderful varieties. We discuss some general results on their geometry, their role in the theory of spherical varieties, several aspects of the combinatorics arising from these varie...; 关键词：Wonderful varieties spherical varieties reductive groups

The Log Minimal Model Program for Horospherical Varieties Via Moment Polytopes: 《Acta Mathematica Sinica,English Series》2018年第3期542-562,共21页Boris PASQUIER; In a previous work, we described the Minimal Model Program in the family of Q-Gorenstein projective horospherical varieties, by studying certain continuous changes of moment polytopes of polarized horospherical variet...; 关键词：Log minimal model program horospherical varieties moment polytopes

On the Chow Groups of Certain Cubic Fourfolds: 《Acta Mathematica Sinica,English Series》2017年第7期887-898,共12页Robert LATERVEER; This note is about the Chow groups of a certain family of smooth cubic fourfolds. This family is characterized by the property that each cubic fourfold X in the family has an involution such that the induced involutio...; 关键词：Algebraic cycles Chow groups motives cubic fourfolds hyperk?hler varieties K3 surfaces finite-dimensional motive

Zeta-Functions of Curves of Genus 3 over Finite Fields: 《Acta Mathematica Sinica,English Series》2010年第11期2223-2230,共8页Fei YU Hong Xi TONG; Supported by Innovation Fund of Shanghai University (Grant No.A.10-0101-08-407); Shanghai Education Commission,Foundation for Excellent Young High Education Teacher of China (Grant No.B.37-0101-08-006); In this paper, we determine zeta-functions of some curves of genus 3 over finite fields by gluing three elliptic curves based on Xing＇s research, and the examples show that there exists a maximal curve of genus 3 ove...; 关键词：Elliptic curves ZETA-FUNCTIONS Jacobian varieties maximum curves

Realizing Enveloping Algebras via Varieties of Modules被引量：3: 《Acta Mathematica Sinica,English Series》2010年第1期29-48,共20页Ming DING Jie XIAO Fan XU; Supported by NSF of China (Grant No. 10631010);by NKBRPC (Grant No. 2006CB805905); By using the Ringel-Hall algebra approach, we investigate the structure of the Lie algebra L（A） generated by indecomposable constructible sets in the varieties of modules for any finite- dimensional C-algebra A. We ...; 关键词：Ringel-Hall algebra constructible set VARIETY universal enveloping algebra

The Subvariety Lattice of the Join of Two Semigroup Varieties: 《Acta Mathematica Sinica,English Series》2009年第6期971-982,共12页Wen Ting ZHANG Yan Feng LUO; the EYTP of MOE of China,the National Natural Science Foundation of China(No.10571077);the Natural Science Foundation of Gansu Province(3ZS052-A25-017); The join A ∨ B of two semigroup varieties A and B is investigated. The latrine of subvarieties of A ∨ B is completely described, It is shown that this lattice is finite and non-modular and that all varieties in it a...; 关键词：SEMIGROUPS VARIETIES IDENTITIES LATTICE

Log Structures on Generalized Semi-Stable Varieties: 《Acta Mathematica Sinica,English Series》2007年第7期1217-1232,共16页Ting LI; supported by NSFC(10131010); In this paper, a class of morphisms which have a kind of singularity weaker than normal crossing is considered. We construct the obstruction such that the so-called semi-stable log structures exists if and only if the...; 关键词：log structure normal crossing singularity semi-stable variety

VARIETIES