Tokyo Journal of Mathematics

A Fixed Point Formula for $0$-pseudofree $S^1$-actions on K\"ahler Manifolds of Constant Scalar Curvature


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Let $M$ be an $m$-dimensional compact complex manifold and $\Omega$ a Kähler class of $M$. Assume that $M$ admits an $\Omega$-preserving $0$-pseudofree $S^1$-action and that $\Omega$ contains a Kähler metric of constant scalar curvature. Then using the fixed point formula for the Bando-Calabi-Futaki character obtained in [5], we can obtain information on the fixed point data of the $S^1$-action. Our main result is Theorem 2.

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Tokyo J. Math., Volume 31, Number 2 (2008), 541-550.

First available in Project Euclid: 5 February 2009

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TSUBOI, Kenji. A Fixed Point Formula for $0$-pseudofree $S^1$-actions on K\"ahler Manifolds of Constant Scalar Curvature. Tokyo J. Math. 31 (2008), no. 2, 541--550. doi:10.3836/tjm/1233844069.

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