46 citations · 172 across the 25 of their papers we have counts for
4 papers · 1 filter
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics
Alexander Kuznetsov, Evgeny Shinder
We discuss a conjecture saying that derived equivalence of simply connected smooth projective varieties implies that the difference of their classes in the Grothendieck ring of var…
The Bogomolov-Prokhorov invariant of surfaces as equivariant cohomology
Evgeny Shinder
For a complex smooth projective surface with an action of a finite cyclic group we give a uniform proof of the isomorphism between the invariant $H^1(G, H^2(M, {\mathbb Z})…
On automorphic forms of small weight for fake projective planes
Sergey Galkin, Ilya Karzhemanov, Evgeny Shinder
On the projective plane there is a unique cubic root of the canonical bundle and this root is acyclic. On fake projective planes such root exists and is unique if there are no 3-to…
On the geometry of the LLSvS eightfold
Evgeny Shinder, Andrey Soldatenkov
In this note we make a few remarks about the geometry of the holomorphic symplectic manifold Z constructed by C.Lehn, M.Lehn, C.Sorger and D. van Straten as a two-step contraction…