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math.AG2025
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…
math.AG2025
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…
math.AG2025
G-coregularity of del Pezzo surfaces
Konstantin Loginov, Victor Przyjalkowski, Andrey Trepalin
We introduce and study the notion of -coregularity of algebraic varieties endowed with an action of a finite group . We compute -coregularity of smooth del Pezzo surfaces…