Soham Ghosh

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20242026

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math.AG2025

Tropical Poincaré bundle, Fourier-Mukai transform, and a generalized Poincaré formula

Soham Ghosh, Farbod Shokrieh

We construct a tropical analogue of the Poincaré bundle and prove a (cohomological) Fourier-Mukai transform for real tori with integral structures. We then prove a tropical analogu…

math.AC2025

Proof of the Casas-Alvero conjecture

Soham Ghosh

The Casas-Alvero conjecture states that if $f (X)$ is a monic univariate polynomial of degree $d$ over a characteristic $0$ field $K$ such that $g cd (f, f_{i})$ is non-triv…