COMPLETE INTERSECTIONS AND EQUIVALENCES WITH CATEGORIES OF MATRIX FACTORIZATIONS

被引：7

作者：

Bergh, Petter Andreas ^{[1
]}

Jorgensen, David A. ^{[2
]}

机构：

[1] NTNU, Inst Matemat Fag, N-7491 Trondheim, Norway

[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2016年 / 18卷 / 02期

关键词：

matrix factorization; complete intersection; MODULES;

D O I：

10.4310/HHA.2016.v18.n2.a21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that one can realize certain triangulated subcategories of the singularity category of a complete intersection as homotopy categories of matrix factorizations. Moreover, we prove that for any commutative ring and non-zerodivisor, the homotopy category of matrix factorizations embeds into the homotopy category of totally acyclic complexes of finitely generated projective modules over the factor ring.

引用

页码：377 / 390

页数：14

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