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arXiv · 1311.2391

Scalar Flat Kähler Metrics on Affine Bundles over $\mathbb{CP}^1$

Nobuhiro Honda
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Abstract

We show that the total space of any affine $\mathbb{C}$-bundle over $\mathbb{CP}^1$ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree.

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BibTeXRIS

Nobuhiro Honda. 2014-04-19. Scalar Flat Kähler Metrics on Affine Bundles over $\mathbb{CP}^1$. https://doi.org/10.3842/sigma.2014.046

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