A restriction theorem for stable rank two vector bundles on P3

Laurent Gruson; Philippe Ellia

arxiv: 1409.3789 · v1 · pith:KEM5CNZMnew · submitted 2014-09-12 · 🧮 math.AG

A restriction theorem for stable rank two vector bundles on P3

Philippe Ellia , Laurent Gruson This is my paper

classification 🧮 math.AG

keywords rankstablevectorbundlebundlesfollowsgeneralnormalized

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Let E be a stable rank two normalized vector bundle on P3. If H is a general plane we show that h^0(E_H(1)) \leq 2+c_1. It follows that h^0(E(1)) \leq 2+c_1.

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A restriction theorem for stable rank two vector bundles on P3

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