3 papers
math.AG2024
Belyi's theorem for smooth complete intersections of general type in generalised Grassmannians and weighted projective spaces
Mikhail Ovcharenko
We show that A. Javanpeykar's proof of Belyi's theorem for smooth complete intersections of general type in ordinary projective spaces can be generalised to smooth complete interse…
math.AG2023
Modularity of Landau-Ginzburg models
Charles Doran, Andrew Harder, Ludmil Katzarkov +2
For each Fano threefold, we construct a family of Landau-Ginzburg models which satisfy many expectations coming from different aspects of mirror symmetry; they are log Calabi-Yau v…
math.AG2023
On the existence of nef-partitions for smooth well-formed Fano weighted complete intersections
Mikhail Ovcharenko
A nef-partition for a weighted complete intersection is a combinatorial structure on its weights and degrees which is important for Mirror Symmetry. It is known that nef-partitions…