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

Eyal Markman

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

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arxiv 1701.08690 v2 pith:WQRLKKJ3 submitted 2017-01-30 math.AG

Eyal Markman This is my paper · ORCID

classification math.AG

keywords existenceholomorphicirreduciblemanifoldsmarkedsymplecticuniversalanalogous

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

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Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
math.AG 2019-08 conditional novelty 6.0 of 10

Corrected proofs for the global Torelli theorem for hyperkähler manifolds are supplied by switching from the Teichmüller space to the marked moduli space and by adding an ergodic lemma on lattice isometry groups.

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