Barth, W.; Van de Ven, A. A decomposability criterion for algebraic 2-bundles on projective spaces. (English) Zbl 0295.14006 Invent. Math. 25, 91-106 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 29 Documents 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 PDFBibTeX XMLCite \textit{W. Barth} and \textit{A. Van de Ven}, Invent. Math. 25, 91--106 (1974; Zbl 0295.14006) Full Text: DOI EuDML References: [1] Borel, A., Serre, J-P.: Le théorème de Riemann-Roch. Bull. Soc. Math. France86, 97-136 (1958) · Zbl 0091.33004 [2] Brieskorn, E.: Über holomorphe ? n über ?1. Math. Ann.157, 343-357 (1965) · Zbl 0128.17003 · doi:10.1007/BF02028245 [3] Grothendieck, A.: Sur la classification des fibrés holomorphes sur la sphére de Riemann. Am. J. Math.79, 121-138 (1956) · Zbl 0079.17001 · doi:10.2307/2372388 [4] Grothendieck, A.: La théorie des classes de Chern. Bull. Soc. Math. France86, 137-154 (1958) · Zbl 0091.33201 [5] Hirzebruch, F.: Topological methods in algebraic geometry. Grundl. Math. Wissensch. Band 131, Third edition. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0138.42001 [6] Horrocks, G., Mumford, D.: A rank-2 vector bundle on ?4 with 15,000 symmetries. Topology12, 63-81 (1973) · Zbl 0255.14017 · doi:10.1016/0040-9383(73)90022-0 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.