Cohomology of toric bundles

Details Cohomology of toric bundles Cohomology of toric bundles

2002-12-04

arxiv.org/abs/math/0212053v2

Comm. Math. Helv. 78 (2003) 540--554. Errata 79 (2004) 840--841

Mathematics

Algebraic Geometry

16 pages. Relation (ii)' in Defn 1.1 modified to correct an error in Lemma 2.2(i). Other minor errors corrected

Scientific paper

We describe the singular cohomology ring, the K-ring of complex vector
bundles, the Chow ring, and the Grothendieck ring of coherent sheaves of the
total space of the fibre bundle with base space an irreducible nonsingular
complete Noetherian scheme and fibre a nonsingular projective T-toric variety
associated to a prinicipal T-bundle over the field of complex numbers.

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