We solve two open problems: first we prove a conjecture of Bondal and Van den Bergh,
showing that the category D^perf(X) is strongly generated whenever X is a quasicompact …

This work establishes a condition that determines when strong generation in the bounded
derived category of a Noetherian J-2 scheme is preserved by the derived pushforward of a …

This book is a lightly edited version of the unpublished manuscript Maximal Cohen–
Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz …

In this note we study trace ideals of canonical modules. Characterizations of the trace ideals
in terms of annihilators of certain Ext modules are given. We apply our results to study many …

This work is concerned with both strong generation and (co) ghost index in the module
category of a commutative noetherian ring. A sufficiency criterion is established for such …

Questions about modular representation theory of finite groups can often be reduced to
elementary abelian subgroups. This is the first book to offer a detailed study of the …

We prove that the bounded derived category of coherent sheaves on a quasicompact
separated quasiexcellent scheme of finite dimension has a strong generator in the sense of …

This work demonstrates classical generation is preserved by the derived pushforward along
the canonical morphism of a noncommutative commutative scheme to its underlying …

Several years ago, Bondal, Rouquier, and Van den Bergh introduced the notion of the
dimension of a triangulated category, and Rouquier proved that the bounded derived …

This work concerns generators for the bounded derived category of coherent sheaves over a
noetherian scheme $ X $ of prime characteristic. The main result is that when the Frobenius …