6 citations · 15 across the 20 of their papers we have counts for
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Birational invariants of volume preserving maps
Konstantin Loginov, Zhijia Zhang
We study the group of birational automorphisms of the -dimensional projective space that preserve the standard torus invariant volume form with logarithmic poles. We prove that…
Finite abelian groups acting on rationally connected threefolds I: Groups of product type
Konstantin Loginov
We initiate the study of finite abelian groups that faithfully act on -dimensional rationally connected varieties. We show that these groups can be naturally divided into three…
Toric models of smooth Fano threefolds
Konstantin Loginov, Joaquín Moraga, Artem Vasilkov
We prove that a general rational smooth Fano threefold admits a toric model. More precisely, for a general rational smooth Fano threefold , we show the existence of a boundary d…
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.