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THE DRINFELD–GRINBERG–KAZHDAN THEOREM IS FALSE FOR SINGULAR ARCS

Part of: Local theory Birational geometry

Published online by Cambridge University Press:  15 September 2015

David Bourqui  and
Julien Sebag
David Bourqui
Affiliation:
Institut de recherche mathématique de Rennes, UMR 6625 du CNRS, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France (david.bourqui@univ-rennes1.fr; julien.sebag@univ-rennes1.fr)
Julien Sebag
Affiliation:
Institut de recherche mathématique de Rennes, UMR 6625 du CNRS, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France (david.bourqui@univ-rennes1.fr; julien.sebag@univ-rennes1.fr)
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Abstract

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In this note, we prove that the Drinfeld–Grinberg–Kazhdan theorem on the structure of formal neighborhoods of arc schemes at a nonsingular arc does not extend to the case of singular arcs.

Keywords

arc schemecurve singularity

MSC classification

Primary: 14E18: Arcs and motivic integration 14B05: Singularities
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 16 , Issue 4 , September 2017 , pp. 879 - 885
Copyright
© Cambridge University Press 2015 

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