Abstract
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.
Citation
Adnène Ben Abdesselem. Ines Adouani. "Lower bound of admissible functions on the Grassmannian Gm,nm (C)." Kodai Math. J. 39 (1) 16 - 34, March 2016. https://doi.org/10.2996/kmj/1458651689
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