27 citations · 34 across the 8 of their papers we have counts for
9 papers · 1 filter
Hypergeometric series and Hodge cycles of four dimensional cubic hypersurfaces
Hossein Movasati, Stefen Reiter
In this article we find connections between the values of Gauss hypergeometric functions and the dimension of the vector space of Hodge cycles of four dimensional cubic hypersurfac…
Differential modular forms,Elliptic curves and Ramanujan foliation
Hossein Movasati
In this article we define the algebra of differential modular forms and we prove that it is generated by Eisenstein series of weight and 6. We define Hecke operators on them,…
On vanishing of Abelian integrals and contraction of genus two curves
Hossein Movasati, Evelina Viada
The paper is withdrawn.
Calculation of mixed Hodge structures, Gauss-Manin connections and Picard-Fuchs equations
Hossein Movasati
In this article we introduce algorithms which compute iterations of Gauss-Manin connections, Picard-Fuchs equations of Abelian integrals and mixed Hodge structure of affine varieti…
Mixed Hodge structure of affine hypersurfaces
Hossein Movasati
In this article we introduce the mixed Hodge structure of the Brieskorn module of a polynomial in $\C^{n+1}$, where satisfies a certain regularity condition at infinity (an…
Center conditions: Rigidity of logarithmic differential equations
Hossein Movasati
In this paper we prove that any degree deformation of a generic logarithmic polynomial differential equation with a persistent center must be logarithmic again. This is a gener…