3 papers
math.AG2025
An Equisingular Specialisation of the Compactified Jacobian and its applications
Sourav Das, A. J. Parameswaran, Subham Sarkar
For any positive integer , let be a projective irreducible nodal curve with nodes. We show that the Betti numbers and the mixed Hodge numbers of the compactified Jacob…
math.NT2024
Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
Sourav Das, Arijit Ganguly
The goal of this paper is to establish a complete Khintchine-Groshev type theorem in both homogeneous and inhomogeneous setting, on analytic nondegenerate manifolds over a local fi…
math.NT2024
Dirichlet improvability for -numbers
Sourav Das, Arijit Ganguly
We study the problem of improving Dirichlet's theorem of metric Diophantine approximation in the -adic setting. Our approach is based on translation of the problem related to Di…