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Geometry on Grassmannians and applications to splitting bundles and smoothing cycles. (English) Zbl 0208.48501


MSC:

14M15 Grassmannians, Schubert varieties, flag manifolds
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
57R20 Characteristic classes and numbers in differential topology
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References:

[1] M. F. Atiyah, Vector bundles over an elliptic curve,Proc. Lond. Math. Soc. (3), vol. 7 (1957), 414–452. · Zbl 0084.17305
[2] A. Grothendieck, La théorie des classes de Chern,Bull. Soc. math. France, vol. 86 (1958), 137–154. · Zbl 0091.33201
[3] A. Grothendieck, Fibrés vectoriels, fibrés projectifs, fibrés en drapeaux, exposé 12,in fascicule I ofSéminaire H. Cartan, 13 (1960–1961).
[4] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, I and II,Ann. of Math., vol. 79 (1964), 109–326. · Zbl 0122.38603
[5] H. Hironaka, Smoothing of algebraic cycles of small dimensions,Amer. Journ. of Math., vol. 90 (1968), 1–54. · Zbl 0173.22801
[6] R. L. E. Schwarzenberger, Vector bundles on algebraic surfaces,Proc. Lond. Math. Soc. (3), vol. 11 (1961), 601–622. · Zbl 0212.26003
[7] EGA,A. Grothendieck,Éléments de géométrie algébrique (rédigés avec la collaboration deJ. Dieudonné), Publications Mathématiques, Institut des Hautes Études Scientifiques (1960 ff).
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