Remarks on Localizing Futaki-Morita Integrals At Isolated Degenerate\n Zeros

2016/11/14 by Luke Cherveny, Cherveny, Luke
Mathematics · #Algebraic Geometry and Number Theory #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1611.04681

openalex publication_date 2016/11/14 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this note we study the localization of Futaki-Morita integrals at isolated\ndegenerate zeros by giving a streamlined exposition in the spirit of Bott and\nimplement the localization procedure for a holomorphic vector field on CPⁿ\nwith a maximally degenerate zero, giving an essentially unique formula for the\nFutaki-Morita integral invariants without using a summation over multiple\npoints. In a coming paper we will apply similar calculations to the\nCalabi-Futaki invariant of a K "ahler blowup.\n

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