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Riemann-Roch for tensor powers

Riemann-Roch for tensor powers
Riemann-Roch for tensor powers
Mapping a locally free module to its l-th tensor power gives rise to a natural map from the Grothendieck group of all locally free modules to the Grothendieck group of all locally free representations of the l-th symmetric group. In this paper, we prove some formulas of Riemann-Roch type for the behaviour of this tensor power operation with respect to the push-forward homomorphism associated with a projective morphism between schemes. We furthermore establish analogous formulas for higher K-groups.
0025-5874
755-801
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9

Koeck, Bernhard (2000) Riemann-Roch for tensor powers. Mathematische Zeitschrift, 233 (4), 755-801. (doi:10.1007/s002090050497).

Record type: Article

Abstract

Mapping a locally free module to its l-th tensor power gives rise to a natural map from the Grothendieck group of all locally free modules to the Grothendieck group of all locally free representations of the l-th symmetric group. In this paper, we prove some formulas of Riemann-Roch type for the behaviour of this tensor power operation with respect to the push-forward homomorphism associated with a projective morphism between schemes. We furthermore establish analogous formulas for higher K-groups.

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Tensor.dvi - Accepted Manuscript
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Published date: 2000

Identifiers

Local EPrints ID: 29782
URI: http://eprints.soton.ac.uk/id/eprint/29782
DOI: doi:10.1007/s002090050497
ISSN: 0025-5874
PURE UUID: d55f49bf-4d47-4e19-9fbc-5a7404d18bba
ORCID for Bernhard Koeck: ORCID iD orcid.org/0000-0001-6943-7874

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Date deposited: 20 Jul 2006
Last modified: 16 Mar 2024 03:22

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Author: Bernhard Koeck ORCID iD

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