2 citations · 2 across the 6 of their papers we have counts for
6 papers
Lengths of Hodge characters in Fermat varieties
Lucas Martelotte, Maximiliano Miranda, Hossein Movasati +2
We revisit the Hodge conjecture for Fermat (and weighted Fermat) varieties. We review the reduction of the Hodge conjecture in terms of Hodge characters introduced by Shioda and it…
On a counterexample to a conjecture of J. Harris for octic surfaces
Hossein Movasati
We take a sum $C_1+r C_2,\ r\in\Q$ of a line and a complete intersection curve of type inside the octic Fermat surface and with no intersection points. We gathe…
Hasse-Witt invariants of Calabi-Yau varieties
Jin Cao, Mohamed Elmi, Hossein Movasati
We define the Hasse-Witt invariant of Calabi-Yau varieties in two different ways. The first method is through Cartier operator and the second method is through the theory of Calabi…
Leaf schemes and Hodge loci
Hossein Movasati
This is a collection of articles, written as sections, on arithmetic properties of differential equations, holomorphic foliations, Gauss-Manin connections and Hodge loci. Each sect…
Local-global principle for leaf schemes
Hossein Movasati
We study Hodge loci as leaf schemes of foliations. The main ingredient is the Gauss-Manin connection matrix of families of projective varieties. We also aim to investigate a conjec…
Grothendieck-Katz conjecture
Hossein Movasati
In this article we prove that linear differential equations with only algebraic solutions have zero -curvature modulo for all except a finite number of primes and all…