Remarks on Localizing Futaki-Morita Integrals At Isolated Degenerate Zeros
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 $CP^n$ with a maximally degenerate zero, giving an essentially unique for...
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| Sprache: | eng |
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| Zusammenfassung: | 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 $CP^n$
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 K\"ahler blowup. |
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| DOI: | 10.48550/arxiv.1611.04681 |