Products of harmonic forms and rational curves
Algebraic Geometry
2007-05-23 v1 Differential Geometry
Abstract
In general, the product of harmonic forms is not harmonic. We study the top exterior power of harmonic two-forms on compact Kaehler manifolds. Often, it is not harmonic. This phenomenon is related to the geometry of the manifold and to the existence of rational curves in particular. K3 surfaces and hyperkaehler manifolds are discussed in detail.
Cite
@article{arxiv.math/0003202,
title = {Products of harmonic forms and rational curves},
author = {D. Huybrechts},
journal= {arXiv preprint arXiv:math/0003202},
year = {2007}
}
Comments
10 pages