D. Raychaudhury

activity

20182026

collaborators

Showing 2025Show all

4 papers · 1 filter

math.AG2025

Hyperbolicity of adjoint linear series on varieties with positive tangent bundle

Atsushi Ito, Joaquín Moraga, Debaditya Raychaudhury +1

Let $X$ be a smooth projective variety of dimension $n \geq 3$ , and let $L$ be an ample line bundle on $X$ . In this article, we study the algebraic hyperbolicity of a very general s…

math.AG2025

Extendable codimension two subvarieties in a general hypersurface

G. V. Ravindra, Debaditya Raychaudhury

We exhibit a class of extendable codimension $2$ subvarieties in a general hypersurface of dimension at least $4$ in projective space. As a consequence, we prove that a general hyp…

math.AG2025

A lower bound on the Ulrich complexity of hypersurfaces

Angelo Felice Lopez, Debaditya Raychaudhury

We give a lower bound on the Ulrich complexity of hypersurfaces of dimension $n \geq 6$ . The bound improves the result in [BES] for $n \leq 78$ .

math.AG2025

A Hodge Theoretic generalization of $Q$ -Homology Manifolds I: General Case

Bradley Dirks, Sebastian Olano, Debaditya Raychaudhury

We study a natural Hodge-theoretic generalization of rational (or $Q$ -)homology manifolds through an invariant $\HRH(Z)$ attached to a complex algebraic variety $Z$ . The d…

Hyperbolicity of adjoint linear series on varieties with positive tangent bundle

Extendable codimension two subvarieties in a general hypersurface

A lower bound on the Ulrich complexity of hypersurfaces

A Hodge Theoretic generalization of Q-Homology Manifolds I: General Case

A Hodge Theoretic generalization of $Q$ -Homology Manifolds I: General Case