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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…
Invariant Jet differentials and Asymptotic Serre duality
Mohammad Reza Rahmati
We generalize the main result of Demailly \cite{D2} for the bundles of jet differentials of order and weighted degree to the bundles of t…
Schur-Weyl Duality and Higher Abel-Jacobi Invariants for Tautological Cycles in
Mohammad Reza Rahmati
This article investigates the Hodge theory of the moduli space of genus curves with marked points, establishing new connections between Schur-Weyl duality for $\mathfrak{sp…