English

On the generalized Futaki invariant

Algebraic Geometry 2007-05-23 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/9907055,
  title  = {On the generalized Futaki invariant},
  author = {Mirroslav Yotov},
  journal= {arXiv preprint arXiv:math/9907055},
  year   = {2007}
}

Comments

23 pages

R2 v1 2026-07-22T18:03:45.779Z