Singularity categories and singular equivalences for resolving subcategories

DOI 機関リポジトリ HANDLE PDF Web Site ほか1件をすべて表示 一部だけ表示 被引用文献5件 参考文献43件 オープンアクセス

抄録

Let X be a resolving subcategory of an abelian category. In this paper we investigate the singularity category Dsg(X−−)=Db(modX−−)/Kb(proj(modX−−)) of the stable category X−− of X. We consider when the singularity category is triangle equivalent to the stable category of Gorenstein projective objects, and when the stable categories of two resolving subcategories have triangle equivalent singularity categories. Applying this to the module category of a Gorenstein ring, we prove that the complete intersections over which the stable categories of resolving subcategories have trivial singularity categories are the simple hypersurface singularities of type (A1). We also generalize several results of Yoshino on totally reflexive modules.

収録刊行物

被引用文献 (5)*注記

もっと見る

参考文献 (43)*注記

もっと見る

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ