Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Lower bound of admissible functions on the Grassmannian Gm,nm (C)
Adnène Ben AbdesselemInes Adouani
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2016 年 39 巻 1 号 p. 16-34

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We prove the existence of an "extremal" function lower bounding all admissible functions (ie plurisubharmonic functions modulo a metric) with supremum equal to zero on the complex Grassmann manifold Gm,nm(C). The functions considered are invariant under a suitable automorphisms group. This gives a conceptually simple method to compute Tian's invariant in the case of a non toric manifold.
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© 2016 Department of Mathematics, Tokyo Institute of Technology
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