Vector bundles on complex projective spaces. (Vektornye rassloeniya na kompleksnykh proektivnykh prostranstvakh). Transl. from the English. (Russian) Zbl 0598.32022

Okonek, Christian; Schneider, Michael; Spindler, Heinz

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).

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