Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space

2010/08/31 by Sasha Anan'in, Misha Verbitsky · 1 citation
Mathematics · #math.AG #math.CV

paper · pdf · doi:10.1016/j.matpur.2013.05.008

published as Journal de mathematiques pures et appliques 101 (2014), pp. 188-197 · 17 pages, 4 figures, v. 5.0, the introduction is cleaned up, a reference to [KV] added

arxiv created 2012/10/08 · arxiv updated 2014/02/10

Abstract

Let M be a compact hyperkaehler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in H²(M) defines a divisor D_v in W consisting of all algebraic manifolds polarized by v. We prove that every connected component of this divisor is dense in W.

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