✦ LIBER ✦

Vector bundles on elliptic curves over a discrete valuation ring

✍ Scribed by E. Ballico

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 92 KB
Volume: 255
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00159-x

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✦ Synopsis

Here we study vector bundles on elliptic curves over a DVR. In particular, we classify the vector bundles whose restriction to the special fiber is stable. For singular genus one curves over a DVR, we consider the same problem for flat sheaves whose restriction to the special fiber is torsion free and obtained taking iterated extensions of a non-locally free sheaf with rank one and degree 0.