Remarks on Localizing Futaki-Morita Integrals At Isolated Degenerate Zeros
Differential Geometry
2016-11-16 v1
Abstract
In this note we study the localization of Futaki-Morita integrals at isolated degenerate zeros by giving a streamlined exposition in the spirit of Bott and implement the localization procedure for a holomorphic vector field on with a maximally degenerate zero, giving an essentially unique formula for the Futaki-Morita integral invariants without using a summation over multiple points. In a coming paper we will apply similar calculations to the Calabi-Futaki invariant of a K\"ahler blowup.
Keywords
Cite
@article{arxiv.1611.04681,
title = {Remarks on Localizing Futaki-Morita Integrals At Isolated Degenerate Zeros},
author = {Luke Cherveny},
journal= {arXiv preprint arXiv:1611.04681},
year = {2016}
}