A splitting criterion for rank 2 vector bundles onPn
نویسندگان
چکیده
منابع مشابه
. A G ] 2 3 A pr 1 99 8 A SPLITTING CRITERION FOR RANK 2 VECTOR BUNDLES ON HYPERSURFACES IN
We show that Horrocks' criterion for the splitting of rank two vector bundles in P 3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P 4. Extension of other splitting criterions are studied.
متن کامل2 8 A pr 1 99 8 A SPLITTING CRITERION FOR RANK 2 VECTOR BUNDLES ON HYPERSURFACES IN
We show that Horrocks' criterion for the splitting of rank two vector bundles in P 3 can be extended, with some assumptions on the Chern classes, on non singular hypersurfaces in P 4. Extension of other splitting criterions are studied.
متن کاملA Splitting Criterion for Vector Bundles on Higher Dimensional Varieties
We generalize Horrocks’ criterion for the splitting of vector bundles on projective space. We establish an analogous splitting criterion for vector bundles on arbitrary smooth complex projective varieties of dimension ≥ 4, which asserts that a vector bundle E on X splits iff its restriction E|Y to an ample smooth codimension 1 subvariety Y ⊂ X splits.
متن کاملA Splitting Criterion for Rank 2 Bundles on a General Sextic Threefold
In this paper we show that on a general sextic hypersurface X ⊂ P, a rank 2 vector bundle E splits if and only if h(E(n)) = 0 for any n ∈ Z. We get thus a characterization of complete intersection curves in X .
متن کاملA Few Splitting Criteria for Vector Bundles
We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multiprojective spaces. The tools are monads and a Beilinson’s type spectral sequence generalized by Costa and Miró-Roig.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1995
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1995.169.51