Generalized Futaki Invariant of Almost Fano Toric Varieties, Examples

Details Generalized Futaki Invariant of Almost Fano Toric Varieties, Examples Generalized Futaki Invariant of Almost Fano Toric Varieties, Examples

1998-06-21

arxiv.org/abs/math/9806116v1

Mathematics

Algebraic Geometry

22 pages, LaTeX2e

Scientific paper

The interpretation, due to T. Mabuchi, of the classical Futaki invariant of Fano toric manifolds is extended to the case of the Generalized Futaki invariant, introduced by W. Ding and G. Tian, of almost Fano toric varieties. As an application it is shown that the real part of the Generalized Futaki invariant is positive for all degenerations of the Fano manifold V_{38}, obtained by intersection of the Veronese embedding of ${\bf P}^3\times{\bf P}^2 \subset {\bf P}^{11}$ with codimension-two hyperplanes.

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