2022Journal of Algebraic GeometryOpen access

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

Claudio Onorati

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Abstract

In this paper we prove a conjecture of Markman about the shape of the monodromy group of irreducible holomorphic symplectic manifolds of OG10 type. As a corollary, we also compute the locally trivial monodromy group of the underlying singular symplectic variety.

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In this paper we prove a conjecture of Markman about the shape of the monodromy group of irreducible holomorphic symplectic manifolds of OG10 type. As a corollary, we also compute the locally trivial monodromy group of the underlying singular symplectic variety.

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Available abstract

In this paper we prove a conjecture of Markman about the shape of the monodromy group of irreducible holomorphic symplectic manifolds of OG10 type. As a corollary, we also compute the locally trivial monodromy group of the underlying singular symplectic variety.

Key concepts: Monodromy, Pure mathematics, Symplectic geometry, Mathematics, Group (periodic table), Holomorphic function, Moduli space, Conjecture

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