119 citations · 461 across the 49 of their papers we have counts for
8 papers · 2 filters
Bounds for smooth Fano weighted complete intersections
Victor Przyjalkowski, Constantin Shramov
We prove that if a smooth variety with non-positive canonical class can be embedded into a weighted projective space of dimension as a well formed complete intersection and it…
Finite groups of birational selfmaps of threefolds
Yuri Prokhorov, Constantin Shramov
We determine three-dimensional algebraic varieties whose groups of birational selfmaps do not satisfy the Jordan property.
p-subgroups in the space Cremona group
Yuri Prokhorov, Constantin Shramov
We prove that if is a rationally connected threefold and is a -subgroup in the group of birational selfmaps of , then is an abelian group generated by at most …
Jordan constant for Cremona group of rank 3
Yuri Prokhorov, Constantin Shramov
We give explicit bounds for Jordan constants of groups of birational automorphisms of rationally connected threefolds over fields of zero characteristic, in particular, for Cremona…
Burkhardt quartic, Barth sextic, and the icosahedron
Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov
We study two rational Fano threefolds with an action of the icosahedral group . The first one is the famous Burkhardt quartic threefold, and the second one is the d…
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
Alexander Kuznetsov, Yuri Prokhorov, Constantin Shramov
We discuss various results on Hilbert schemes of lines and conics and automorphism groups of smooth Fano threefolds with Picard rank 1. Besides a general review of facts well known…