2 papers
math.AC2026
Supports of intersections of thick subcategories and proxy smallness
Kiriko Kato, Ryo Takahashi
Let R be a commutative noetherian ring. Let D^b(R) be the bounded derived category of finitely generated R-modules. Let X and Y be thick subcategories of D^b(R). In this paper, we…
math.AC2025
Extension-closed subcategories over hypersurfaces of finite or countable CM-representation type
Kei-ichiro Iima, Ryo Takahashi
Let k be an algebraically closed uncountable field of characteristic zero. Let R be a complete local hypersurface over k. Denote by CM(R) the category of maximal Cohen-Macaulay R-m…