Email this article Vector Bundles on P1ℤ with Generic Fiber O ⊕ O(1) and Simple Jumps
- Authors: Iakovenko S.S.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 232, No 5 (2018)
- Pages: 732-745
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/241412
- DOI: https://doi.org/10.1007/s10958-018-3902-1
- ID: 241412
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Abstract
Vector bundles on the projective line over a Dedekind domain A are studied. In the case where A is a principal ideal domain, a complete classification is obtained for rank 2 vector bundles with generic fiber O ⊕ O(1) and special fibers isomorphic either to O ⊕ O(1) or to O(−1) ⊕ O(2).
About the authors
S. S. Iakovenko
St.Petersburg State University
Author for correspondence.
Email: sergey.s.yakovenko@gmail.com
Russian Federation, St.Petersburg
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