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math.DG2017★ 1 cited
The Futaki Invariant of Kähler Blowups with Isolated Zeros via Localization
Luke Cherveny
We present an analytic proof of the relationship between the Calabi-Futaki invariant for a Kähler manifold relative to a holomorphic vector field with a nondegenerate zero and the…
math.DG2016★ 3 cited
Remarks on Localizing Futaki-Morita Integrals At Isolated Degenerate Zeros
Luke Cherveny
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 localizati…