On the Adams-Riemann-Roch theorem in positive characteristic. [With an appendix by B. Koeck: Another formula for the Bott element]


Pink, Richard and Rössler, Damian (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), 1067-1076.

Download

[img] PDF
Download (194Kb)

Description/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.]

Item Type: Article
ISSNs: 0025-5874 (print)
1432-1823 (electronic)
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
Item ID: 65710
Date Deposited: 16 Mar 2009
Last Modified: 08 Jun 2012 12:39
Contributors: Pink, Richard (Author)
Rössler, Damian (Author)
Koeck, B. (Contributor)
Date: April 2012
Status: Published
Contact Email Address: B.Koeck@soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/65710

Actions (login required)

View Item View Item