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arXiv · 1305.2608

Compact Complex Surfaces of Locally Conformally Flat Type

Mustafa Kalafat·Caner Koca
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Abstract

We show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surface has to be minimal. Then we give a list of possibilities of such surfaces.

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Mustafa Kalafat, Caner Koca. 2013-05-12. Compact Complex Surfaces of Locally Conformally Flat Type. https://arxiv.org/abs/1305.2608

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