On isotropic divisors on irreducible symplectic manifolds
Algebraic Geometry
2014-06-02 v2
Abstract
Let X be an irreducible symplectic manifold and L a divisor on X. Assume that L is isotropic with respect to the Beauville-Bogomolov quadratic form. We define the rational Lagrangian locus and the movable locus on the universal deformation space of the pair (X, L). We prove that the rational Lagrangian locus is empty or coincide with the movable locus.
Keywords
Cite
@article{arxiv.1310.0896,
title = {On isotropic divisors on irreducible symplectic manifolds},
author = {Daisuke Matsushita},
journal= {arXiv preprint arXiv:1310.0896},
year = {2014}
}