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Title: Vector Bundles on P{sup 1}{sub ℤ} with Generic Fiber O ⊕ O(1) and Simple Jumps

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).

Authors:
 [1]
  1. St.Petersburg State University (Russian Federation)
Publication Date:
OSTI Identifier:
22773933
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 232; Journal Issue: 5; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; CLASSIFICATION; VECTORS

Citation Formats

Iakovenko, S. S., E-mail: sergey.s.yakovenko@gmail.com. Vector Bundles on P{sup 1}{sub ℤ} with Generic Fiber O ⊕ O(1) and Simple Jumps. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3902-1.
Iakovenko, S. S., E-mail: sergey.s.yakovenko@gmail.com. Vector Bundles on P{sup 1}{sub ℤ} with Generic Fiber O ⊕ O(1) and Simple Jumps. United States. doi:10.1007/S10958-018-3902-1.
Iakovenko, S. S., E-mail: sergey.s.yakovenko@gmail.com. Wed . "Vector Bundles on P{sup 1}{sub ℤ} with Generic Fiber O ⊕ O(1) and Simple Jumps". United States. doi:10.1007/S10958-018-3902-1.
@article{osti_22773933,
title = {Vector Bundles on P{sup 1}{sub ℤ} with Generic Fiber O ⊕ O(1) and Simple Jumps},
author = {Iakovenko, S. S., E-mail: sergey.s.yakovenko@gmail.com},
abstractNote = {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).},
doi = {10.1007/S10958-018-3902-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 232,
place = {United States},
year = {2018},
month = {8}
}