Products of harmonic forms and rational curves

Details Products of harmonic forms and rational curves Products of harmonic forms and rational curves

2000-03-29

arxiv.org/abs/math/0003202v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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.

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