Remarks on Localizing Futaki-Morita Integrals At Isolated Degenerate Zeros

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 $C{P}^n$ 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 Kähler blowup.

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• The Futaki Invariant of Kähler Blowups with Isolated Zeros via Localization