19 citations · 43 across the 5 of their papers we have counts for
8 papers
Rigid hyperholomorphic sheaves remain rigid along twistor deformations of the underlying hyparkahler manifold
Eyal Markman, Sukhendu Mehrotra, Misha Verbitsky
Let S be a K3 surface and M a smooth and projective 2n-dimensional moduli space of stable coherent sheaves on S. Over M x M there exists a rank 2n-2 reflexive hyperholomorphic shea…
Automorphisms of the generalized quot schemes
Indranil Biswas, Sukhendu Mehrotra
Given a compact connected Riemann surface of genus , and integers , and , in \cite{BDHW}, a generalized quot scheme ${\mathcal Q}_X(r,d_p,…
Integral Transforms and Deformations of K3 Surfaces
Eyal Markman, Sukhendu Mehrotra
Let X be a K3 surface and M a smooth and projective moduli space of stable sheaves on X of Mukai vector v. A universal sheaf U over X x M induces an integral transform F from the d…
A global Torelli theorem for rigid hyperholomorphic sheaves
Eyal Markman, Sukhendu Mehrotra
We prove a global Torelli theorem for the moduli space of marked triples (X,m,A), consisting of an irreducible holomorphic symplectic manifold X, a marking m of its second integral…
Hilbert schemes of K3 surfaces are dense in moduli
Eyal Markman, Sukhendu Mehrotra
We prove that the locus of Hilbert schemes of n points on a projective K3 surface is dense in the moduli space of irreducible holomorphic symplectic manifolds of that deformation t…
A categorical invariant for cubic threefolds
Marcello Bernardara, Emanuele Macri, Sukhendu Mehrotra +1
We prove a categorical version of the Torelli theorem for cubic threefolds. More precisely, we show that the non-trivial part of a semi-orthogonal decomposition of the derived cate…
Infinitesimal Derived Torelli Theorem for K3 surfaces
Emanuele Macri, Paolo Stellari, Sukhendu Mehrotra
We prove that the first order deformations of two smooth projective K3 surfaces are derived equivalent under a Fourier--Mukai transform if and only if there exists a special isomet…
Inducing stability conditions
Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari
We study stability conditions induced by functors between triangulated categories. Given a finite group acting on a smooth projective variety we prove that the subset of invariant…