Moduli spaces of irreducible symplectic manifolds

V Gritsenko; K Hulek; Gregory K Sankaran

doi:10.1112/s0010437x0900445x

Moduli spaces of irreducible symplectic manifolds

V Gritsenko, K Hulek, Gregory K Sankaran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

60 Citations (SciVal)

Abstract

We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3([2]) manifolds with polarisation of degree 2d and split type is of general type if d >= 12.

Original language	English
Pages (from-to)	404-434
Number of pages	31
Journal	Compositio Mathematica
Volume	146
Issue number	2
Early online date	26 Jan 2010
DOIs	https://doi.org/10.1112/s0010437x0900445x
Publication status	Published - Mar 2010

Keywords

orthogonal groups
irreducible symplectic manifold
Siegel formula for quadratic forms
moduli

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title = "Moduli spaces of irreducible symplectic manifolds",

abstract = "We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3([2]) manifolds with polarisation of degree 2d and split type is of general type if d >= 12.",

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AU - Sankaran, Gregory K

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AB - We study the moduli spaces of polarised irreducible symplectic manifolds. By a comparison with locally symmetric varieties of orthogonal type of dimension 20, we show that the moduli space of polarised deformation K3([2]) manifolds with polarisation of degree 2d and split type is of general type if d >= 12.

KW - orthogonal groups

KW - irreducible symplectic manifold

KW - Siegel formula for quadratic forms

KW - moduli

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JO - Compositio Mathematica

JF - Compositio Mathematica

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Moduli spaces of irreducible symplectic manifolds

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Keywords

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