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On the generalized Futaki invariant

Mirroslav Yotov
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Abstract

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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Mirroslav Yotov. 1999-07-09. On the generalized Futaki invariant. https://arxiv.org/abs/math/9907055

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