On the generalized Futaki invariant

Details On the generalized Futaki invariant On the generalized Futaki invariant

1999-07-09

arxiv.org/abs/math/9907055v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

We study the algebraic properties of the generalized Futaki invariant of an
almost Fano variety and prove that it is in fact a pushforward to a point of an
appropriate equivariant Chow cohomology class of the variety. This allows us to
use Bott-type formulae for calculating the invariant. We show this use on some
examples.

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