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math.DG2023★ 1 cited
Hermite--Einstein metrics in singular settings
Junyan Cao, Patrick Graf, Philipp Naumann +3
In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on…
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…