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10 papers · 2 filters
Invariants of degree 3 and torsion in the Chow group of a versal flag
Alexander Merkurjev, Alexander Neshitov, Kirill Zainoulline
We prove that the group of normalized cohomological invariants of degree 3 modulo the subgroup of semidecomposable invariants of a semisimple split linear algebraic group G is isom…
2-elementary subgroups of the space Cremona group
Yuri Prokhorov
We give a sharp bound for orders of elementary abelian 2-groups of birational automorphisms of rationally connected threefolds.
On numerically pluricanonical cyclic coverings
Viatcheslav Kharlamov, Viktor Kulikov
In this article, we investigate some properties of cyclic coverings of complex surfaces of general type branched along smooth curves that are numerically equivalent to a multiple o…
On stable conjugacy of finite subgroups of the plane Cremona group, I
Fedor Bogomolov, Yuri Prokhorov
We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We show that the group is a stable birational invariant and compute this group in…
Jordan groups and automorphism groups of algebraic varieties
Vladimir L. Popov
This is the expanded version of my talk at the workshop "Groups of Automorphisms in Birational and Affine Geometry", October 29--November 3, 2012, Levico Terme, Italy. The first se…
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula
Petr Dunin-Barkowski, Maxim Kazarian, Nicolas Orantin +2
In this paper we give a new proof of the ELSV formula. First, we refine an argument of Okounkov and Pandharipande in order to prove (quasi-)polynomiality of Hurwitz numbers without…