Short sections of some bundles on the projective line
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 124-141

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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 obtained by means of a certain base change. The source bundle runs over the bundles with the trivial generic fiber an simple jumps. We compute the minimal degree of nonvaniching sections for bundles in question. Certain interesting phenomena are found out.
@article{ZNSL_2020_490_a7,
     author = {A. L. Smirnov and G. A. Strukov},
     title = {Short sections of some bundles on the projective line},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {124--141},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a7/}
}
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A. L. Smirnov; G. A. Strukov. Short sections of some bundles on the projective line. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 3, Tome 490 (2020), pp. 124-141. http://geodesic.mathdoc.fr/item/ZNSL_2020_490_a7/