Luca Chiantini, Carlo Madonna
Abstract
In this paper we show that on a general sextic hypersurface X⊂ℙ4, a rank 2 vector bundle ℰ splits if and only if h1(ℰ(n))=0 for any n∈ℤ. We get thus a characterization of complete intersection curves in X.
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In this paper we show that on a general sextic hypersurface X⊂ℙ4, a rank 2 vector bundle ℰ splits if and only if h1(ℰ(n))=0 for any n∈ℤ. We get thus a characterization of complete intersection curves in X.
Key concepts: Mathematics, Hypersurface, Vector bundle, Rank (graph theory), Complete intersection, Characterization (materials science), Pure mathematics, Combinatorics