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).
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页码：1299 / 1334
页数：36
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