10 citations · 10 across the 1 of their papers we have counts for
5 papers
Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory
Martin Kalck, Nebojsa Pavic, Evgeny Shinder
We investigate necessary conditions for Gorenstein projective varieties to admit semiorthogonal decompositions introduced by Kawamata, with main emphasis on threefolds with isolate…
L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Evgeny Shinder, Ziyu Zhang
We construct nontrivial L-equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples o…
Variation of Stable Birational Types of Hypersurfaces
Evgeny Shinder, with an appendix by Claire Voisin
We introduce and study the question how can stable birational types vary in a smooth proper family. Our starting point is the specialization for stable birational types of Nicaise…
Derived categories of singular surfaces
Joseph Karmazyn, Alexander Kuznetsov, Evgeny Shinder
We develop an approach that allows to construct semiorthogonal decompositions of derived categories of surfaces with cyclic quotient singularities whose components are equivalent t…
Group actions on categories and Elagin's Theorem Revisited
Evgeny Shinder
After recalling basic definitions and constructions for a finite group action on a -linear category we give a concise proof of the following theorem of Elagin: if $\mathcal{…