6 papers · 1 filter
On G-birational rigidity of projective spaces
Ivan Cheltsov, Frederic Mangolte, Constantin Shramov
In this paper, we study finite subgroups such that is -birationally rigid. For each , we prove that $\mathrm{Au…
On p-Jordan constant of Cremona group of rank 2 in odd characteristic
Yifei Chen, Constantin Shramov
We bound the indices of normal abelian subgroups in finite groups contained in the Cremona group of rank 2 over a field of odd characteristic.
Birational geometry of del Pezzo surfaces of degree 4
Constantin Shramov, Andrey Trepalin
It is known that any Mori fiber space birational to a minimal smooth del Pezzo surface of degree is either a del Pezzo surface of degree itself, or a smooth cubic surfa…
Automorphisms of del Pezzo surfaces without points
Constantin Shramov, Anastasia Vikulova
We study automorphism groups of del Pezzo surfaces without points over a field of zero characteristic, and estimate their Jordan constants.
Finiteness of projective pluricanonical representation for automorphisms of complex manifolds
Konstantin Loginov, Constantin Shramov
We study the action of the group of bimeromorphic automorphisms of a compact complex manifold on the image of the pluricanonical map, which we call the projec…
Automorphisms of surfaces over fields of positive characteristic
Yifei Chen, Constantin Shramov
We study automorphism and birational automorphism groups of varieties over fields of positive characteristic from the point of view of Jordan and -Jordan property. In particular…