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math.AG2003
On Stable Bundles of Ranks 2 and 3 on P^3
Al Vitter
We study rank 3 stable bundles E on P^3 as extensions of a line bundle B on a smooth surface S in P^3 by the direct sum of three copies of O_{P^3}(-ν). In most cases, S (the depend…
math.AG2003
Restricting Semistable Bundles on the Projective Plane to Conics
Al Vitter
We study the restrictions of rank 2 semistable vector bundles E on P^2 to conics. A Grauert-Mulich type theorem on the generic splitting is proven. The jumping conics are shown to…