Geodesic
On the degrees of nondegenerated sections
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 5, Tome 511 (2022), pp. 171-180 
A. L. Smirnov. On the degrees of nondegenerated sections. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 5, Tome 511 (2022), pp. 171-180. http://geodesic.mathdoc.fr/item/ZNSL_2022_511_a6/
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     author = {A. L. Smirnov},
     title = {On the degrees of nondegenerated sections},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper concerns vector bundles on the projective line over the ring of integers. We deal with bundles of rank 2 with the trivial generic fiber. We consider twistings of such a bundle with a certain degree. It is proved that for sufficiently high degrees there exist nonvaniching sections of corresponding twistings.

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[5] A. L. Smirnov, S. S. Yakovenko, “Postroenie lineinoi filtratsii dlya rassloenii ranga $2$ na $\mathbf{P}^1_{\mathbb{Z}}$”, Matem. sbornik, 208 (2017), 111–128

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