Small projective spaces and Stillman uniformity for sheaves

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2019-06-26 DOI:10.14231/AG-2021-010

D. Erman, Steven V. Sam, A. Snowden

引用次数: 3

Abstract

We prove an analogue of Ananyan--Hochster's small subalgebra theorem in the context of sheaves on projective space, and deduce from this a version of Stillman's Conjecture for cohomology tables of sheaves. The main tools in the proof are Draisma's GL-noetherianity theorem and the BGG correspondence.

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小投影空间和斯蒂尔曼均匀的轮轴

在射影空间上证明了关于捆上同调表的Ananyan—Hochster小子代数定理的一个类似，并由此导出了关于捆上同调表的Stillman猜想的一个版本。证明的主要工具是Draisma的gl -noether定理和BGG对应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.