Geodesic
Products of harmonic forms and rational curves
Documenta mathematica, Tome 6 (2001), pp. 227-239

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In general, the product of harmonic forms is not harmonic. We study the top exterior power of harmonic two-forms on compact Kähler manifolds. The non-harmonicity in this case is related to the geometry of the manifold and to the existence of rational curves in particular. K3 surfaces and hyperkähler manifolds are discussed in detail.
DOI : 10.4171/dm/102
Classification : 14E05, 14J32, 32Q25
Mots-clés : rational curves, harmonic forms, compact Kähler manifolds, Ricci-flat Kähler forms 
Daniel Huybrechts. Products of harmonic forms and rational curves. Documenta mathematica, Tome 6 (2001), pp. 227-239. doi: 10.4171/dm/102
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     author = {Daniel Huybrechts},
     title = {Products of harmonic forms and rational curves},
     journal = {Documenta mathematica},
     pages = {227--239},
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     volume = {6},
     doi = {10.4171/dm/102},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/102/}
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