On the Adams-Riemann-Roch theorem in positive characteristic. [With an appendix by B. Koeck: Another formula for the Bott element]
On the Adams-Riemann-Roch theorem in positive characteristic. [With an appendix by B. Koeck: Another formula for the Bott element]
We give a new proof of the Adams-Riemann-Roch theorem for a smooth projective morphism X ? Y, in the situation where Y is a scheme of characteristic p > 0, which is of finite type over a noetherian ring and carries an ample line bundle. This theorem implies the Hirzebruch-Riemann-Roch theorem in characteristic 0. We also answer a question of B. Koeck.
[Appendix: The object of the appendix is to give another formula for the Bott element of a smooth morphism. This formula is analogous to a formula in the main part of the paper and extends a list of miraculous analogies explained in an earlier paper.]
1067-1076
Pink, Richard
148825d5-c8ba-4b68-9229-fc2a0a5ffccd
Rössler, Damian
77157489-c0af-41a1-a82d-e62e0f62a9f9
Koeck, B.
84d11519-7828-43a6-852b-0c1b80edeef9
April 2012
Pink, Richard
148825d5-c8ba-4b68-9229-fc2a0a5ffccd
Rössler, Damian
77157489-c0af-41a1-a82d-e62e0f62a9f9
Koeck, B.
84d11519-7828-43a6-852b-0c1b80edeef9
Pink, Richard, Rössler, Damian and Koeck, B.
(2012)
On the Adams-Riemann-Roch theorem in positive characteristic. [With an appendix by B. Koeck: Another formula for the Bott element].
Mathematische Zeitschrift, 270 (3-4), .
Abstract
We give a new proof of the Adams-Riemann-Roch theorem for a smooth projective morphism X ? Y, in the situation where Y is a scheme of characteristic p > 0, which is of finite type over a noetherian ring and carries an ample line bundle. This theorem implies the Hirzebruch-Riemann-Roch theorem in characteristic 0. We also answer a question of B. Koeck.
[Appendix: The object of the appendix is to give another formula for the Bott element of a smooth morphism. This formula is analogous to a formula in the main part of the paper and extends a list of miraculous analogies explained in an earlier paper.]
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e-pub ahead of print date: 12 March 2009
Published date: April 2012
Identifiers
Local EPrints ID: 65710
URI: http://eprints.soton.ac.uk/id/eprint/65710
ISSN: 0025-5874
PURE UUID: fdd9ed63-a50b-4e1f-a72f-ba0698689e18
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Date deposited: 16 Mar 2009
Last modified: 14 Mar 2024 02:46
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Author:
Richard Pink
Author:
Damian Rössler
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