发帖
雷达卡
摘要翻译：
研究了Castelnuovo-Mumford正则性对一些经典函子的性质：正特征Frobenius函子Tor乘幂或乘积（理想）。这些结果推广和改进了以前的一些作者在这些问题上的结果。作为应用，在适当的几何假设下，我们给出了射影格式的子格式交的正则性的结果。从几何应用的角度出发，给出了多Tor模的刚性及其消失的刻划。
---
英文标题：
《On the behavior of Castelnuovo-Mumford regularity with respect to some
functors》
---
作者：
Marc Chardin
---
最新提交年份：
2007
---
分类信息：
一级分类：Mathematics 数学
二级分类：Commutative Algebra 交换代数
分类描述：Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环，模，理想，同调代数，计算方面，不变理论，与代数几何和组合学的联系
--
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
--
---
英文摘要：
We investigate the behavior of Castelnuovo-Mumford regularity with respect to some classical functors : Tor, the Frobenius functor in positive characteristic, taking a power or a product (on ideals). These generalizes and refines previous results on these issues by several authors. As an application we provide results on the regularity of an intersection of subschemes of a projective scheme, under appropriate geometric hypotheses. Results on the rigidity of multiple Tor modules and on the characterization of their vanishing are given, motivated by geometric applications.
---
PDF链接：
https://arxiv.org/pdf/0706.2731
京公网安备 11010802022788号
