1 citations · 1 across the 2 of their papers we have counts for
5 papers
Jordan property for groups of bimeromorphic self-maps of complex manifolds with large Kodaira dimension
Konstantin Loginov
We prove that the image of the pluricanonical representation of a group of bimeromorphic automorphisms of a complex manifold has bounded finite subgroups. As a consequence, we show…
A note on 3-subgroups in the space Cremona group
Konstantin Loginov
We prove that a finite -group in the Cremona group can be generated by at most elements. This provides the last missing piece in bounding the ran…
Maximal log Fano manifolds are generalized Bott towers
Konstantin Loginov, Joaquín Moraga
We prove that maximal log Fano manifolds are generalized Bott towers. As an application, we prove that in each dimension, there is a unique maximal snc Fano variety satisfying Frie…
On semistable degenerations of Fano varieties
Konstantin Loginov
Consider a family of Fano varieties over a curve germ with a smooth total space . Assume that the generic fiber is smooth and the special fiber $F=…
On non-rational fibers of del Pezzo fibrations over curves
Konstantin Loginov
We consider threefold del Pezzo fibrations over a curve germ whose central fiber is non-rational. Under the additional assumption that the singularities of the total space are at w…