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Jet and prolongation spaces

Part of: Differential and difference algebra Algebraic geometry: Foundations

Published online by Cambridge University Press:  24 February 2010

Rahim Moosa  and
Thomas Scanlon
Rahim Moosa
Affiliation:
University of Waterloo, Department of Pure Mathematics, 200 University Avenue West, Waterloo, Ontario N2L 3G1, Canada, (rmoosa@math.uwaterloo.ca)
Thomas Scanlon
Affiliation:
University of California, Berkeley, Department of Mathematics, Evans Hall, Berkeley, CA 94720-3480, USA, (scanlon@math.berkeley.edu)
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Abstract

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The notion of a prolongation of an algebraic variety is developed in an abstract setting that generalizes the difference and (Hasse) differential contexts. An interpolating map that compares these prolongation spaces with algebraic jet spaces is introduced and studied.

Keywords

differential fielddifference fieldjet spaceprolongationWeil restriction

MSC classification

Secondary: 12H99: None of the above, but in this section 14A99: None of the above, but in this section
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 2 , April 2010 , pp. 391 - 430
Copyright
Copyright © Cambridge University Press 2010

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