Elliptic ruled surfaces over arbitrary characteristic fields

Elliptic ruled surfaces over arbitrary characteristic fields

T Togashi, H Uehara – arXiv preprint arXiv:2212.00304, 2022

Atiyah classifies vector bundles on elliptic curves $ E $ over an algebraically closed field of any characteristic. On the other hand, a rank $2 $ vector bundle on $ E $ defines a surface $ S $ with a $\mathbb {P}^ 1$-bundle structure on $ E $. We study …