Geodesic
On the degrees of nondegenerated sections
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 5, Tome 511 (2022), pp. 171-180

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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. 
@article{ZNSL_2022_511_a6,
     author = {A. L. Smirnov},
     title = {On the degrees of nondegenerated sections},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {171--180},
     publisher = {mathdoc},
     volume = {511},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_511_a6/}
}
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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/