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).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 452, 2016, pp. 218–237.
Translated by N. B. Lebedinskaya.
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Iakovenko, S.S. Vector Bundles on P1ℤ with Generic Fiber O ⊕ O(1) and Simple Jumps. J Math Sci 232, 732–745 (2018). https://doi.org/10.1007/s10958-018-3902-1
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DOI: https://doi.org/10.1007/s10958-018-3902-1