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Vector Bundles on P{sup 1}{sub ℤ} with Simple Jumps

Journal Article · · Journal of Mathematical Sciences
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 O{sup 2} 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.
OSTI ID:
22773934
Journal Information:
Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 5 Vol. 232; ISSN JMTSEW; ISSN 1072-3374
Country of Publication:
United States
Language:
English

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