Vector Bundles on P1ℤ with Simple Jumps
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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.
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- 2.Ch. Okonek, M. Schneider, and H. Schpindler, Vector Bundles on Complex Projective Spaces [Russian translation], Mir, Moscow (1984).Google Scholar