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Geometry of the Stable Ruled Surface Over an Elliptic Curve
Bulletin of the Brazilian Mathematical Society, New Series ( IF 0.9 ) Pub Date : 2020-08-03 , DOI: 10.1007/s00574-020-00224-7
Arame Diaw

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.

中文翻译:

椭圆曲线上稳定直纹曲面的几何

我们考虑椭圆曲线上的稳定直纹面 $S_1$。$S_1$ 上有一个与纤维化成横向的独特叶理。最小自相交部分也定义了一个 2-web。我们证明了由纤维化、叶理和 2-web 定义的 4-web 是局部可并行的。
更新日期:2020-08-03
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