Acyclic Toric Sheaves

IF 0.6 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2026-03-23 DOI:10.1007/s10468-026-10383-8

Klaus Altmann, Andreas Hochenegger, Frederik Witt

引用次数: 0

Abstract

Let \(\mathcal {E}\) be a torus-linearised reflexive sheaf over a smooth projective toric variety. Generalising a theorem of Perlman and Smith, we prove an explicit sufficient condition for \(\mathcal {E}\) to be acyclic via Weil decorations.

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无环环面轮轴

设\(\mathcal {E}\)是平滑投影环面变化上环面线性化的自反轴。推广了Perlman和Smith的一个定理，通过Weil修饰证明了\(\mathcal {E}\)为无环的一个显式充分条件。

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

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.