6 papers
Calabi-Yau attractor varieties and degeneration of Hodge structure
Mohammad Reza Rahmati
We study the structure of string theory flux compactification for a general family of elliptic CY 3-folds. We investigate the locus of the attractor points of the flux compactifica…
A question on generalization of partition functions of CY 3-folds in String Theory
Mohammad Reza Rahmati
This is an expositoray article on the topological string partition function promoting an extension of the partition function of open Gromov-Witten theory of CY 3-folds defined by t…
Tropical Normal Functions -- Higher Abel-Jacobi Invariants of Tropical cycles
Mohammad Reza Rahmati
We consider the variation of tropical Hodge structure (TVHS) associated to families of tropical varieties. The family of the tropical intermediate Jacobians of the associated tropi…
Hodge-Arakelov inequalities for family of surfaces fibered by curves
Mohammad Reza Rahmati
The Hodge numerical invariants of a variation of Hodge structure over a smooth quas--projective variety are a measure of complexity for the global twisting of the limit mixed Hodge…
Geometry of Weighted Homogeneous Spaces
Mohammad Reza Rahmati, Gerardo Flores
In this paper, we define the weighted homogeneous space (WHS), denoted by where is weight function defined on the set of simple roots of , by an element…
Morse cohomology estimates for jet differential operators
Jean-Pierre Demailly, Mohammad Reza Rahmati
We provide detailed holomorphic Morse estimates for the cohomology of sheaves of jet differentials and their dual sheaves. These estimates apply on arbitrary directed varieties, an…