Let E be a normalized, rank two vector bundle on P3. Let H be a general plane. If E is stable with c2≥4, we show that h0(EH(1))≤2+c1. It follows that h0(E(1))≤2+c1. We also show that if E is properly semi-stable and indecomposable, h0(EH(1))=3.
A restriction theorem for stable rank two vector bundles on P-3
ELLIA, Filippo Alfredo
Primo
;
2015
Abstract
Let E be a normalized, rank two vector bundle on P3. Let H be a general plane. If E is stable with c2≥4, we show that h0(EH(1))≤2+c1. It follows that h0(E(1))≤2+c1. We also show that if E is properly semi-stable and indecomposable, h0(EH(1))=3.File in questo prodotto:
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Ellia-Gruson_restriction-arXiv.pdf
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2015.ellia. a restriction heorem for stable rank two vector bundles on P3.pdf
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