Residue formula for Morita-Futaki-Bott invariant on orbifolds

所有Kähler类上Futaki不变量消失的Bott流形

Bott manifolds with vanishing Futaki invariants for all Kähler classes

本文证明了Futaki不变量对所有Kähler类消失的Bott流形必为射影直线乘积，刻画了此类流形的结构。

On the generalized Futaki invariant

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.