4 papers · 1 filter
Characterizing Contractions and Weighted Blowdowns
Soham Ghosh, Tyson Klingner
This paper gives a partial answer to a question of Dan Abramovich: consider a proper morphism with connected fibers, between smooth separated Deli…
Kovács' conjecture on characterization of projective space and hyperquadrics
Soham Ghosh
We prove Kovács' conjecture that claims that if the exterior power of the tangent bundle of a smooth complex projective variety contains the exterior power of an…
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…
A dimension bound towards the Casas-Alvero Conjecture
Soham Ghosh
The Casas-Alvero conjecture predicts that every univariate polynomial over an algebraically closed field of characteristic zero sharing a common factor with each of its Hasse-Schmi…