Email this article Vector Bundles on P1ℤ with Simple Jumps
- Authors: Smirnov A.L.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute RAS
- Issue: Vol 232, No 5 (2018)
- Pages: 721-731
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241404
- DOI: https://doi.org/10.1007/s10958-018-3901-2
- ID: 241404
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Abstract
Vector bundles of rank 2 on the projective line over ℤ are considered. It is assumed that such a bundle E is trivial on a generic fiber, and its restriction to any special fiber is isomorphic either to O2 or to O(−1)⊕O(1). Under these assumptions it is proved that an exact sequence of the form 0→O(−2) → E →O(2) → 0 exists.
About the authors
A. L. Smirnov
St.Petersburg Department of the Steklov Mathematical Institute RAS
Author for correspondence.
Email: smirnov@pdmi.ras.ru
Russian Federation, St.Petersburg
