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arXiv · 1909.06827

Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points

Takayuki Koike
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Abstract

We investigate Hermitian metrics on the anti-canonical bundle of a rational surface obtained by blowing up the projective plane at nine points. For that purpose, we pose a modified variant of an argument made by Ueda on the complex analytic structure of a neighborhood of a subvariety by considering the deformation of the complex structure.

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Takayuki Koike. 2019-09-15. Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points. https://arxiv.org/abs/1909.06827

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