We prove that for any finite-dimensional differential graded algebra with separable
semisimple part the category of perfect modules is equivalent to a full subcategory of the …

We generalise two facts about finite‐dimensional algebras to finite‐dimensional differential
graded algebras. The first is the Nakayama lemma and the second is that the simples can …

Reflexive DG-categories were defined by Kuznetsov and Shinder as generalisations of
smooth and proper DG-categories. Over a perfect field, they include all projective schemes …

Given a bounded-above cochain complex of modules over a ring, it is standard to replace it
by a projective resolution, and it is classical that doing so can be very useful. Recently, a …

In this paper, twisted tensor product of DG algebras is studied and sufficient conditions for
smoothness of such a product are given. It is shown that in the case of finite-dimensional DG …

We show that every proper connective dg algebra A admits a geometric realization (as
defined by Orlov) by a smooth projective scheme with a full exceptional collection. If A is …

In this thesis I will give a description of the Deligne–Mumford properad expressing it as the
result of homotopically trivializing S 1 families of annuli (with appropriate compatibility …

This is a short overview of the author's results related to the notion of a smooth categorical
compactification. We cover the construction of a categorical smooth compactification of the …

В работе дается краткий обзор результатов, связанных с гомотопической конечностью
DG-категорий. Мы излагаем общий план доказательства гомотопической конечности …

Categorical smooth compactifications and neighborhoods of infinity Page 1 Categorical
smooth compactifications and neighborhoods of infinity Alexander I. Efimov In this note we give …