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Curvature of Metrics on Semple Jet bundles
Mohammad Reza Rahmati
We discuss the Morse estimates for the curvature of several metrics on Semple weighted projective bundle over a projective variety. Following Demailly works on holomorphic Morse in…
A note on the ring of invariant jet differentials
Mohammad Reza Rahmati
In this article we briefly discuss the finite generation of fiber rings of invariant k-jets of holomorphic curves in a complex projective manifold, using differential Galois theory…
A note on asymptotic Serre duality for jet differentials
Mohammad Reza Rahmati
We formulate and prove the existence of an asymptotic duality along the fibers of the Green-Griffiths jet bundles over projective manifolds. The existence of global sections for th…
Vertex algebras and Hodge structures
Mohammad Reza Rahmati
We compare the context of Hodge structures with that of vertex algebras of conformal field theory. Vertex algebras appear as the highest weight representations of infinite dimensio…
Nilpotent orbit theorem in -adic Hodge theory
Mohammad Reza Rahmati, Gerardo Flores
We state and prove three orbit theorems on the period domains for the -adic Hodge structure analogous to the complex case. We shall consider the variation of de Rham (resp. étal…