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

作者：Anan'in Sasha; Verbitsky Misha^*

来源：Journal de Mathematiques Pures et Appliquees, 2014, 101(2): 188-197.

DOI：10.1016/j.matpur.2013.05.008

• Moduli spaces
• Hyperkahler manifolds
• Torelli theorem
• Hodge structures
• Integer lattice

Let M be a compact hyperkahler 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.

• 出版日期2014-2