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arXiv:math/0212053 [math.AG]AbstractReferencesReviewsResources

Cohomology of toric bundles

P. Sankaran, V. Uma

Published 2002-12-04, updated 2005-12-30Version 2

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.

Comments: 16 pages. Relation (ii)' in Defn 1.1 modified to correct an error in Lemma 2.2(i). Other minor errors corrected
Journal: Comm. Math. Helv. 78 (2003) 540--554. Errata 79 (2004) 840--841
Categories: math.AG, math.AT
Subjects: 14M25, 14F15
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