9 papers
Actions of on rationally connected threefolds
Konstantin Loginov
Let . We prove that if is a rationally connected threefold with a faithful action of , then is -birational to the Fermat quartic threefold. If …
K-stability of Fano threefolds of rank 3 and degree 14
Grigory Belousov, Konstantin Loginov
We prove that all general smooth Fano threefolds of Picard rank and degree are K-stable, where the generality condition is stated explicitly.
Dual complexes of qdlt Fano type models and strong complete regularity
Jihao Liu, Konstantin Loginov
We introduce birational strong complete regularity and strong complete regularity, two numerical invariants for pairs of (relative) Fano type. They are defined using variants of qd…
On the coregularity of del Pezzo surfaces with du Val singularities
Konstantin Loginov, Andrey Trepalin
We compute the coregularity of del Pezzo surfaces with du Val singularities. To this aim, we study the relation between del Pezzo surfaces of degree and elliptic fibrations. It…
Finite abelian groups acting on rationally connected threefolds II: groups of K3 type
Konstantin Loginov, Antoine Pinardin, Zhijia Zhang
We study finite abelian groups acting on three-dimensional rationally connected varieties. We concentrate on the groups of K3 type, that is, abelian extensions by a cyclic group of…
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…