On some (co)homological invariants of coherent matrix factorizations

被引：0

作者：

Pippi, Massimo ^{[1
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2023年 / 17卷 / 04期

基金：

欧洲研究理事会;

关键词：

Non-commutative geometry; (coherent) matrix factorizations; (relative) singularity categories; vanishing cycles; SINGULARITY CATEGORIES; CYCLES;

D O I：

10.4171/JNCG/515

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the `-adic cohomology of the dg category of coherent matrix factorizations, as well as its Hochschild and periodic cyclic homologies (these last two only in the affine case).

引用

页码：1299 / 1334

页数：36

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