The perfect cone compactification of quotients of type IV domains

Giovenzana, Luca

doi:10.48550/arxiv.1904.08638

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Global Torelli Theorem1

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2020

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“…A rather general recent result in this direction has been obtained by Ma [Ma18]. The singularities of compactifications of such moduli spaces have studied by Giovenzana [Gio19].…”

Section: Global Torelli Theoremmentioning

confidence: 91%

A global Torelli theorem for singular symplectic varieties

Bakker

Lehn

2020

J. Eur. Math. Soc.

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We systematically study the moduli theory of symplectic varieties (in the sense of Beauville) which admit a resolution by an irreducible symplectic manifold. In particular, we prove an analog of Verbitsky's global Torelli theorem for the locally trivial deformations of such varieties. Verbitsky's work on ergodic complex structures replaces twistor lines as the essential global input. In so doing we extend many of the local deformation-theoretic results known in the smooth case to such (not-necessarily-projective) symplectic varieties. We deduce a number of applications to the birational geometry of symplectic manifolds, including some results on the classification of birational contractions of K3 [n] -type varieties.

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“…A rather general recent result in this direction has been obtained by Ma [Ma18]. The singularities of compactifications of such moduli spaces have studied by Giovenzana [Gio19].…”

Section: Global Torelli Theoremmentioning

confidence: 91%

A global Torelli theorem for singular symplectic varieties

Bakker

Lehn

2020

J. Eur. Math. Soc.

View full text Add to dashboard Cite

show abstract

The perfect cone compactification of quotients of type IV domains

Cited by 1 publication

References 6 publications

A global Torelli theorem for singular symplectic varieties

A global Torelli theorem for singular symplectic varieties

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