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A decomposability criterion for algebraic 2-bundles on projective spaces. (English) Zbl 0295.14006


MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14M10 Complete intersections
14N10 Enumerative problems (combinatorial problems) in algebraic geometry
14C15 (Equivariant) Chow groups and rings; motives
55R25 Sphere bundles and vector bundles in algebraic topology
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
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References:

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[7] Kodaira, K.: On compact complex surfaces I. Ann. of Math.71, 111-152 (1960) · Zbl 0098.13004 · doi:10.2307/1969881
[8] Larsen, M. E.: On the topology of complex projective manifolds. Inventiones math.19, 251-260 (1973) · Zbl 0255.32004 · doi:10.1007/BF01390209
[9] Ogus, A.: On the formal neighborhood of a subvariety of projective space. To appear · Zbl 0331.14002
[10] Riemenschneider, O.: Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume. Math. Ann.187, 40-55 (1970) · Zbl 0196.09701 · doi:10.1007/BF01368159
[11] Van de Ven, A.: On uniform vector bundles. Math. Ann.195, 245-248 (1972) · Zbl 0215.43202
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