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13 papers · 2 filters
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…
Derived categories of curves as components of Fano manifolds
Anton Fonarev, Alexander Kuznetsov
We prove that the derived category of a generic curve of genus greater than one embeds into the derived category of the moduli space of rank two stable bundles on…
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…
The Jordan constant for Cremona group of rank 2
Egor Yasinsky
We compute the Jordan constant for the group of birational automorphisms of a projective plane , where is either an algebraically closed fie…
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 …
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…