%0 Journal Article
%T A global Torelli theorem for rigid hyperholomorphic sheaves
%A Eyal Markman
%A Sukhendu Mehrotra
%J Mathematics
%D 2013
%I arXiv
%X 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 cohomology, and a stable and rigid sheaf A of Azumaya algebras on the cartesian product X^d, d>0, such that the second Chern class of A is invariant under a finite index subgroup of the monodromy group of X. The main example involves the rank 2n-2 sheaf over the cartesian square of holomorphic symplectic manifolds of K3[n]-type considered in the work of the first author arXiv:1105.3223. The result will be used in the authors forthcoming work on generalized deformations of K3 surfaces.
%U http://arxiv.org/abs/1310.5782v1