In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.
@article{bwmeta1.element.doi-10_2478_BF02475186,
author = {Daniel Guan},
title = {On representation theory and the cohomology rings of irreducible compact hyperk\"ahler manifolds of complex dimension four},
journal = {Open Mathematics},
volume = {1},
year = {2003},
pages = {661-669},
zbl = {1049.53035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475186}
}
Daniel Guan. On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four. Open Mathematics, Tome 1 (2003) pp. 661-669. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475186/
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