4 papers
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…
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…
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…
Top-heavy Lefschetz elements for regular unimodular embedded lattice simplicial balls with induced boundary
Mykola Pochekai
We prove that the coordinate Artinian reduction of the Stanley-Reisner ring of a regular unimodular embedded lattice simplicial ball whose boundary is an induced subcomplex admits…