On Deligne's functorial Riemann-Roch theorem in positive characteristic
Algebraic Geometry
2014-05-26 v1
Abstract
In this note, we give a proof for a variant of the functorial Deligne-Riemann-Roch theorem in positive characteristic based on ideas appearing in Pink and R\"ossler's proof of the Adams-Riemann-Roch theorem in positive characteristic (see \cite{Pi}). The method of their proof appearing in \cite{Pi}, which is valid for any positive characteristic and which is completely different from the classical proof, will allow us to prove the functorial Deligne-Riemann-Roch theorem in a much easier and more direct way. Our proof is also partially compatible with Mumford's isomorphism.
Keywords
Cite
@article{arxiv.1405.6063,
title = {On Deligne's functorial Riemann-Roch theorem in positive characteristic},
author = {Quan Xu},
journal= {arXiv preprint arXiv:1405.6063},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:0812.0254 by other authors