3 papers
math.AG2020
Geometry and automorphisms of non-Kähler holomorphic symplectic manifolds
Fedor Bogomolov, Nikon Kurnosov, Alexandra Kuznetsova +1
We consider the only one known class of non-Kähler irreducible holomorphic symplectic manifolds, described in the works of D. Guan and the first author. Any such manifold of di…
math.AG2019
Quotients of groups of birational transformations of cubic Del Pezzo fibrations
Jérémy Blanc, Egor Yasinsky
We prove that the group of birational transformations of a Del Pezzo fibration of degree 3 over a curve is not simple, by giving a surjective group homomorphism to a free product o…
math.AG2018
Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces
Nikon Kurnosov, Egor Yasinsky
We study groups of bimeromorphic and biholomorphic automorphisms of projective hyperkähler manifolds. Using an action of these groups on some non-positively curved space, we deduce…