3 papers
math.AG2026
Maximality of the Hodge level for smooth weighted complete intersections of general type
Victor Przyjalkowski
We prove that for every smooth well formed weighted complete intersection of general type of dimension , the Hodge number is positive; in other words, its Hodge l…
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…
math.AG2023
Coregularity of smooth Fano threefolds
Artem Avilov, Konstantin Loginov, Victor Przyjalkowski
We study the coregularity of smooth Fano threefolds. We prove that for 100 out of 105 families of smooth Fano threefolds, a general member in the family has coregularity 0; moreove…