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Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds

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arxiv 1702.05230 v3 pith:UQG2YTD4 submitted 2017-02-17 math.AP math.CV

Jianchun Chu , Bin Zhou This is my paper · ORCID
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keywords regularitycompacthermitianplurisubharmonicenvelopeenvelopesexamplesfunction
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abstract

In this paper, we prove the $C^{1, 1}$-regularity of the plurisubharmonic envelope of a $C^{1,1}$ function on a compact Hermitian manifold. We also present examples to show this regularity is sharp.

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  1. On the Datar-Mete-Song minimal slope conjecture

    math.AG 2026-08 conditional novelty 7.0 of 10

    The paper proves the Datar-Mete-Song conjecture: a pair of Kähler classes is semi-stable exactly when its minimal J-slope equals the topological J-slope.

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