12 citations · 24 across the 9 of their papers we have counts for
10 papers · 1 filter
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.…
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 Jaco…
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…
On symplectic birational self-maps of projective hyperkähler manifolds of K3-type
Yajnaseni Dutta, Dominique Mattei, Yulieth Prieto-Montañez
We prove that projective hyperkähler manifolds of K3-type admitting a non-trivial symplectic birational self-map of finite order are isomorphic to moduli spaces of stable (…
Maximal variation of curves on K3 surfaces
Yajnaseni Dutta, Daniel Huybrechts
We prove that curves in a non-primitive, base point free, ample linear system on a K3 surface have maximal variation. The result is deduced from general restriction theorems applie…
Generic Vanishing, 1-forms, and Topology of Albanese Maps
Yajnaseni Dutta, Feng Hao, Yongqiang Liu
Given a bounded constructible complex of sheaves on a complex Abelian variety, we prove an equality relating the cohomology jump loci of and its singula…
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…
Effective generation and twisted weak positivity of direct images
Yajnaseni Dutta, Takumi Murayama
In this paper, we study pushforwards of log pluricanonical bundles on projective log canonical pairs over the complex numbers, partially answering a Fujita-type conjecture…
On the effective freeness of the direct images of pluricanonical bundles
Yajnaseni Dutta
We give effective bounds on the generation of pushforwards of log-pluricanonical bundles twisted by ample line bundles. This gives a partial answer to a conjecture proposed by Popa…