Okonek, Christian; Schneider, Michael; Spindler, Heinz Vector bundles on complex projective spaces. (Vektornye rassloeniya na kompleksnykh proektivnykh prostranstvakh). Transl. from the English. (Russian) Zbl 0598.32022 Matematika. Novoe v Zarubezhnoj Nauke, 36. Moskva: Izdatel’stvo ”Mir”. 310 p. R. 1.80 (1984). Translation of the English original (1980; Zbl 0438.32016). Cited in 2 ReviewsCited in 4 Documents MSC: 32L05 Holomorphic bundles and generalizations 32-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 32G13 Complex-analytic moduli problems 14D20 Algebraic moduli problems, moduli of vector bundles 14D22 Fine and coarse moduli spaces 57R22 Topology of vector bundles and fiber bundles 14-03 History of algebraic geometry 32-03 History of several complex variables and analytic spaces 14M07 Low codimension problems in algebraic geometry 14M15 Grassmannians, Schubert varieties, flag manifolds 15A72 Vector and tensor algebra, theory of invariants 14L24 Geometric invariant theory Keywords:vector bundles on complex projective spaces; homogeneous bundle; monad; theory of moduli; coherent sheaves; splitting of bundles; stable bundles; fine moduli spaces; duality; Chern class; survey; bibliography PDF BibTeX XML