2020Kyoto journal of mathematicsOpen access

On the existence of universal families of marked irreducible holomorphic symplectic manifolds

Eyal Markman

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Abstract

We prove the existence of a global family with natural universal properties over every component of the moduli space of marked irreducible holomorphic symplectic manifolds. The analogous result follows for Teichmüller spaces.

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We prove the existence of a global family with natural universal properties over every component of the moduli space of marked irreducible holomorphic symplectic manifolds. The analogous result follows for Teichmüller spaces.

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Available abstract

We prove the existence of a global family with natural universal properties over every component of the moduli space of marked irreducible holomorphic symplectic manifolds. The analogous result follows for Teichmüller spaces.

Key concepts: Symplectic geometry, Mathematics, Holomorphic function, Pure mathematics, Moduli space, Symplectomorphism, Symplectic manifold

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