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arXiv · 1903.00373

Geometry of stable ruled surface over an elliptic curve

Adjaratou Arame Diaw
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Abstract

We consider the stable ruled surface $S_1$ over an elliptic curve. There is a unique foliation on $S_1$ transverse to the fibration. The minimal self-intersection sections also define a 2-web. We prove that the 4-web defined by the fibration, the foliation and the 2-web is locally parallelizable.

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Adjaratou Arame Diaw. 2019-03-01. Geometry of stable ruled surface over an elliptic curve. https://arxiv.org/abs/1903.00373

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