17 citations · 27 across the 11 of their papers we have counts for
11 papers
Birational Geometry of sextic del Pezzo surfaces
Elias Kurz, Egor Yasinsky
We study the biregular and birational geometry of degree 6 del Pezzo surfaces with Picard number 1, defined over an arbitrary perfect field. Using Galois cohomology techniques, we…
Linearization problem for finite subgroups of the plane Cremona group
Antoine Pinardin, Arman Sarikyan, Egor Yasinsky
We give a complete solution of the linearization problem in the plane Cremona group over an algebraically closed field of characteristic zero.
On -birational rigidity of del Pezzo surfaces
Egor Yasinsky
Let be a finite group and be its subgroup. We prove that if a smooth del Pezzo surface over an algebraically closed field is -birationally rigid then it is al…
Birational maps of Severi-Brauer surfaces, with applications to Cremona groups of higher rank
Jérémy Blanc, Julia Schneider, Egor Yasinsky
We prove that any group of cardinality at most the one of is a quotient of any Cremona group of rank at least . This provides a definitive answer to the question of…
Birational involutions of the real projective plane
Ivan Cheltsov, Frédéric Mangolte, Egor Yasinsky +1
We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Cast…
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…