Commutative Algebra and Its Connections to Geometry
Commutative Algebra and Its Connections to Geometry
复制标题
交换代数及其与几何的联系
DOI：
10.1090/conm/555
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发表时间：
2011
影响因子：
0.5
通讯作者：
C. Polini
中科院分区：
文献类型：
--
作者：
A. Corso;C. Polini
本书中的论文基于泛美高级研究所 (PASI) 发表的关于交换代数及其与几何的联系的演讲，该演讲于 2009 年 8 月 3 日至 14 日在巴西奥林达的伯南布哥联邦大学举行。该项目的主要目标是详细介绍交换代数的最新发展以及与代数几何、组合学和计算机代数等领域的相互作用。本书集中讨论现代交换代数的核心主题：同调猜想、正特征和混合特征问题、紧闭包及其与双有理几何的相互作用、积分依赖和爆炸代数、等奇性理论、希尔伯特函数和重数、组合交换代数、格罗布纳基和计算代数。
This volume contains papers based on presentations given at the Pan-American Advanced Studies Institute (PASI) on commutative algebra and its connections to geometry, which was held August 3-14, 2009, at the Universidade Federal de Pernambuco in Olinda, Brazil. The main goal of the program was to detail recent developments in commutative algebra and interactions with such areas as algebraic geometry, combinatorics and computer algebra. The articles in this volume concentrate on topics central to modern commutative algebra: the homological conjectures, problems in positive and mixed characteristic, tight closure and its interaction with birational geometry, integral dependence and blowup algebras, equisingularity theory, Hilbert functions and multiplicities, combinatorial commutative algebra, Grobner bases and computational algebra.