23 citations · 30 across the 2 of their papers we have counts for
4 papers
Descent theory for semiorthogonal decompositions
Alexey Elagin
In this paper a method of constructing a semiorthogonal decomposition of the derived category of -equivariant sheaves on a variety is described, provided that the derived ca…
Cohomological descent theory for a morphism of stacks and for equivariant derived categories
Alexey Elagin
In the paper we answer the following question: for a morphism of varieties (or, more generally, stacks), when the derived category of the base can be recovered from the derived cat…
Semiorthogonal decompositions of derived categories of equivariant coherent sheaves
Alexei Elagin
Let X be an algebraic variety with an action of an algebraic group G. Suppose X has a full exceptional collection of sheaves, and these sheaves are invariant under the action of th…
On exceptional collections on some log Del Pezzo surfaces with one singular point
Alexei Elagin
In this paper we construct a full exceptional collection of sheaves on some family of log Del Pezzo surfaces, viewed as a smooth stack. These surfaces can be embedded as a quasi-sm…