3 papers
math.AC2026
Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
Mykola Pochekai
We formulate and prove Parseval-Rayleigh identities for graded Artinian Gorenstein algebras over fields of positive characteristic. Specializing the general result, we provide an a…
math.AG2024
Genus one mirror symmetry for intersection of two cubics in
Dennis Eriksson, Mykola Pochekai
This paper establishes BCOV-type genus one mirror symmetry for the intersections of two cubics in . The proof applies previous constructions of the mirror family by t…
math.AG2023
Geometry of the mirror models dual to the complete intersection of two cubics
Mykola Pochekai
We construct a natural crepant resolution of the Batyrev-Borisov mirror dual family to the complete intersection of two cubic hypersurfaces in . It is, similarly to th…