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.
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.]
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||16 Mar 2009|
|Last Modified:||08 Jun 2012 12:39|
|Contributors:||Pink, Richard (Author)
Rössler, Damian (Author)
Koeck, B. (Contributor)
|Contact Email Address:||B.Koeck@soton.ac.uk|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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