Finiteness results for hyperkaehler manifolds

Details Finiteness results for hyperkaehler manifolds Finiteness results for hyperkaehler manifolds

2001-09-04

arxiv.org/abs/math/0109024v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

In this short note we prove that the number of deformation types of compact
hyperkaehler manifolds with prescribed second cohomology and second Chern class
is finite. The proof uses the finiteness result of Kollar and Matsusaka, a
formula by Hitchin and Sawon and the surjectivity of the period map.

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