4 papers
Finite order symplectic birational self-maps on Kummer-type manifolds
Yajnaseni Dutta, Dominique Mattei, Stevell Muller +1
A projective hyperkähler manifold of Kummer-type is said to be twisted modular if it is birational to the Albanese fiber of a moduli space of twisted sheaves on an abelian surface…
Some density results for hyperkähler manifolds
Yajnaseni Dutta, Elham Izadi, Ljudmila Kamenova +1
Lagrangian fibrations of hyperkähler manifolds are induced by semi-ample line bundles which are isotropic with respect to the Beauville-Bogomolov-Fujiki form. For a non-isotrivial…
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…
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 Jac…