On the radius of the category of extensions of matrix factorizations

JOURNAL OF ALGEBRA

卷:546

Article

Shimada, Kaori¹  Takahashi, Ryo^2,3 

[1] Meiji Univ, Sch Sci & Technol, Dept Math, Tama Ku, 1-1-1 Higashi Mita, Kawasaki, Kanagawa 2148571, Japan

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan

[3] Univ Kansas, Dept Math, Lawrence, KS 66045 USA

关键词: Dimension;    Hypersurface;    Matrix factorization;    Maximal Cohen-Macaulay module;    Radius;    Singularity category;   

DOI  :  10.1016/j.jalgebra.2019.10.054

来源: Elsevier

【 摘 要 】

Let S be a commutative noetherian ring. The extensions of matrix factorizations of non-zerodivisors x1, ... , x(n) of S form a full subcategory of finitely generated modules over the quotient ring S/(x(1) ... x(n)). In this paper, we investigate the radius (in the sense of Dao and Takahashi) of this full subcategory. As an application, we obtain an upper bound of the dimension (in the sense of Rouquier) of the singularity category of a local hypersurface of dimension one, which refines a recent result of Kawasaki, Nakamura and Shimada. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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