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Characteristic Classes for Difference Operators

Published online by Cambridge University Press:  04 December 2007

A. H. M. LEVELT  and
A. FAHIM
A. H. M. LEVELT
Affiliation:
Department of Mathematics, University of Nijmegen, The Netherlands; e-mail: [email protected]
A. FAHIM
Affiliation:
Department of Mathematics, University of Nijmegen, The Netherlands; e-mail: [email protected]
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Abstract

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We introduce and describe the characteristic class of a difference operator over the difference field (k((t)),τ). Here k is an algebraically closed field of characteristic zero and τ is the k-linear automorphism of k((t)) defined by τ(t)=t/(1+t). The approach is based on the characterization of simple difference operators in terms of their eigenvalues.

Keywords

difference operatordifference fieldcharacteristic class.
Type
Research Article
Information
Compositio Mathematica , Volume 117 , Issue 2 , June 1999 , pp. 223 - 241
Copyright
© 1999 Kluwer Academic Publishers