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math.DG2008★ 14 cited
Non-algebraic Hyperkaehler manifolds
Frederic Campana, Keiji Oguiso, Thomas Peternell
We study the algebraic dimension a(X) of a compact hyperkaehler manfold of dimension 2n. We show that a(X) is at most n unless X is projective. If a compact Kaehler manifold with a…
math.AG2008
Picard number of the generic fiber of an abelian fibered hyperkaehler manifold
Keiji Oguiso
We shall show that the Picard number of the generic fiber, in the sense of scheme, of an abelian fibered hyperkähler manifold over the projective space is always one. We then give…