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The positivity of the Chern classes of an ample vector bundle. (English) Zbl 0212.53502


MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
57R20 Characteristic classes and numbers in differential topology
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
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References:

[1] Barton, C.: Tensor products of ample bundles in characteristicp (to appear).
[2] Grothendieck, A.: La Théorie des Classes de Chern Bull. Soc. Math. France86, 137-154 (1958). · Zbl 0091.33201
[3] Grothendieck, A., Dieudonné, J.:Éléments de Géométrie Algébrique. Publ. Math. IHES 1960 ff. (EGA).
[4] Hartshorne, R.: Ample vector bundles. Publ. IHES29, 63-94 (1966). · Zbl 0173.49003
[5] Kleiman, S.: Ample vector bundles on algebraic surfaces. Proc. Amer. Math. Soc.21, No. 3, 673-676 (1969). · Zbl 0176.18502
[6] Samuel, P.: Relations d’équivalence en Géométrie Algébrique. Proceedings of the International Congress of Mathematicians, Cambridge 470-487 (1958).
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