Diameter estimates in Kähler geometry II: removing the small degeneracy assumption
arxiv(2024)
摘要
In this short note, we remove the small degeneracy assumption in our earlier
works [10, 11]. This is achieved by a technical improvement of Corollary 5.1 in
[10]. As a consequence, we establish the same geometric estimates for diameter,
Green's functions and Sobolev inequalities under an entropy bound for the
Kähler metrics, without any small degeneracy assumption.
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