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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Une compactification des champs classifiant les chtoucas de Drinfeld
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by Laurent Lafforgue PDF
J. Amer. Math. Soc. 11 (1998), 1001-1036 Request permission

Abstract:

One knows that the notion of Harder–Narasimhan’s canonical polygon allows one to write the stacks classifying Drinfeld’s shtukas of rank at least $2$ as inductive limits of open substacks of finite type. When there is no level structure, we present here a smooth modular compactification of each such open substack, generalizing Drinfeld’s construction for rank $2$. Résumé. On sait qu’en rang au moins $2$, la notion de polygone canonique de Harder–Narasimhan permet d’écrire les champs classifiant les chtoucas de Drinfeld comme des réunions filtrantes d’ouverts de type fini. Quand il n’y a pas de structure de niveau, on présente ici une compactification modulaire lisse de chacun de ces ouverts, généralisant celles de Drinfeld en rang $2$.
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Additional Information
  • Laurent Lafforgue
  • Affiliation: URA D0752 du CNRS, Université de Paris–Sud, Mathématiques, bât. 425, 91405 Orsay Cedex, France
  • Email: laurent.lafforgue@math.u-psud.fr
  • Received by editor(s): June 9, 1997
  • Received by editor(s) in revised form: March 30, 1998
  • © Copyright 1998 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 11 (1998), 1001-1036
  • MSC (1991): Primary 11R58, 11G09, 14G35
  • DOI: https://doi.org/10.1090/S0894-0347-98-00272-0
  • MathSciNet review: 1609893