On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces

Abstract

We compute the monodromy group of irreducible holomorphic symplectic manifolds of OG10 type, confirming a conjecture of Markman.

28 pages, comments very welcome. Mild changes with respect to the first version: updated and improved bibliography; cleared some typos; improved some slightly ambiguous statement; corrected a small mistake. Last version is the published: some arguments clarified and expanded

References in corpus (2)

• Induced Automorphisms on Irreducible Symplectic Manifolds
• Birational geometry of the intermediate Jacobian fibration of a cubic fourfold

Cited by in corpus (3)

• On the image of the period map for polarized hyperkähler manifolds
• Symplectic rigidity of O'Grady's tenfolds
• On the irrationality of moduli spaces of projective hyperkähler manifolds