A. I. Degtyarev, I. V. Itenberg, V. M. Kharlamov, “Deformation finiteness for real hyperkähler manifolds”, Mosc. Math. J., 2007, Volume 7, Number 2,Pages <nobr>257

Deformation finiteness for real hyperkähler manifolds

A. I. Degtyarev^a, I. V. Itenberg^b, V. M. Kharlamov^b

^a Bilkent University
^b University Louis Pasteur

Abstract: We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkähler manifolds is finite.

Key words and phrases: Hyperkähler manifold, Calabi–Yau families, real structure, equivariant deformation, finiteness results.

MSC: 53C26, 14P25, 14J32, 32Q20

Received: June 15, 2006

Language: English

DOI: 10.17323/1609-4514-2007-7-2-257-263