3 papers
math.AG2025
Relative compactified Prym and Picard fibrations associated to very good cubic fourfolds
Yajnaseni Dutta, Lisa Marquand
A very good cubic fourfold is a smooth cubic fourfold that does not contain a plane, a cubic scroll, or a hyperplane section with a corank 3 singularity. We prove that the normaliz…
math.AG2024
Twists of intermediate Jacobian fibrations
Yajnaseni Dutta, Dominique Mattei, Evgeny Shinder
We study the sections, Tate--Shafarevich twists, and the period for an OG10 hyperkähler Lagrangian associated to a cubic fourfold. To do so, we introduce the analytic relative Jaco…
math.AG2018
Vanishing for Hodge ideals on toric varieties
Yajnaseni Dutta
In this article we construct a Koszul-type resolution of the p-th exterior power of the sheaf of holomorphic differential forms on smooth toric varieties and use this to prove a Na…