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.

arXiv comment28 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 (8)

• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• The global moduli theory of symplectic varieties
• Prime exceptional divisors on holomorphic symplectic varieties and monodromy-reflections
• Induced Automorphisms on Irreducible Symplectic Manifolds
• Birational Geometry of Singular Moduli Spaces of O'Grady Type
• Birational geometry of the intermediate Jacobian fibration of a cubic fourfold
• The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians
• Factoriality properties of moduli spaces of sheaves on abelian and K3 surfaces

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