On the structure of dg categories of relative singularities
Massimo Pippi
Abstract:In this paper we show that every object in the dg-category of relative singularities Sing(B, f ) associated to a pair (B, f ), where B is a ring and f ∈ B n , is equivalent to a retract of a K(B, f )-dg module concentrated in n + 1 degrees. When n = 1, we show that Orlov's comparison theorem, which relates the dg-category of relative singularities and that of matrix factorizations of an LG-model, holds true without any regularity assumption on the potential. Contents 1 Preliminaries 2 2 The structure of Sing(B… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.