On the generalized Futaki invariant
classification
🧮 math.AG
math.DG
keywords
invariantfutakigeneralizedvarietyalgebraicallowsalmostappropriate
read the original 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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