Enveloppes inferieures de fonctions admissibles sur l'espace projectif complexe. Cas dissymetrique

Details Enveloppes inferieures de fonctions admissibles sur l'espace projectif complexe. Cas dissymetrique Enveloppes inferieures de fonctions admissibles sur l'espace projectif complexe. Cas dissymetrique

2006-04-04

arxiv.org/abs/math/0604073v2

Bulletin des Sciences Mathematiques 2008

Mathematics

Differential Geometry

37 pages

Scientific paper

10.1016/j.bulsci.2006.12.005

This paper generalizes the first author's preceding works concerning
admissible functions on certain Fano manifolds. Here, we study a larger class
of functions which can be less symmetric than the ones studied before. When the
sup of these functions is null, we prove that they admit a lower bound, giving
precisely Tian invariant on these manifolds.

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