# Moduli spaces of irreducible symplectic manifolds

Source: [Moduli spaces of irreducible symplectic manifolds](<https://www.sota2.com/research/paper/68fa559c1e209131ce99582d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:48.816Z

Authors: V.Gritsenko, K.Hulek, G.K.Sankaran

Published: 2008-02-14T18:38:06.000Z

## 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 2d polarised (split type) symplectic manifolds which are deformation equivalent to degree 2 Hilbert schemes of a K3 surface is of general type if d is at least 12.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0802.2078>)

[PDF](<https://arxiv.org/pdf/0802.2078.pdf>)