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Article

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

Journal de Mathématiques Pures et Appliquées. 2014. Vol. 101. No. 2. P. 188-197.
Ananʼin S., Verbitsky M.
Let M be a compact hyperkähler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in H^2(M) defines a divisor Dv in W consisting of all algebraic manifolds polarized by v. We prove that every connected component of this divisor is dense in W.