A differential algebra and the homotopy type of the complement of a toric arrangement

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2020-07-04 DOI:10.4171/rlm/924

C. Concini, G. Gaiffi

引用次数: 7

Abstract

We show that the rational homotopy type of the complement of a toric arrangement is completely determined by two sets of combinatorial data. This is obtained by introducing a differential graded algebra over Q whose minimal model is equivalent to the Sullivan minimal model of the arrangement.

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复曲面排列的一个微分代数与补的同伦型

我们证明了复曲面排列补码的有理同伦型完全由两组组合数据决定。这是通过引入Q上的微分分次代数来获得的，其最小模型等价于排列的Sullivan最小模型。

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

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.