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arXiv · 1008.2480

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

Sasha Anan'in·Misha Verbitsky
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Abstract

Let M be a compact hyperkaehler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in $H^2(M)$ 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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Sasha Anan'in, Misha Verbitsky. 2010-08-14. Any component of moduli of polarized hyperkaehler manifolds is dense in its deformation space. https://doi.org/10.1016/j.matpur.2013.05.008

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