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Publication Date:
February 2009
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2009.029

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Managing Editor: Weissauer, Rainer

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Formal punctured ribbons and two-dimensional local fields

Herbert Kurke1 / Denis Osipov2 / Alexander Zheglov3

1Humboldt University of Berlin, Department of Mathematics, Faculty of Mathematics and Natural Sciences II, Unter den Linden 6, 10099, Berlin, Germany. e-mail: kurke@mathematik.hu-berlin.de

2Steklov Mathematical Institute, Algebra Department, Gubkina str. 8, Moscow, 119991, Russia. e-mail: d_osipov@mi.ras.ru

3Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Department of Differential Geometry and Applications, Leninskie gory, GSP, Moscow, 119899, Russia. e-mail: azheglov@mech.math.msu.su

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2009, Issue 629, Pages 133–170, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2009.029, February 2009

Publication History:
Received:
2007-09-28
Revised:
2008-02-06
Published Online:
2009-02-24

Abstract

We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-to-one correspondence between formal ribbons on curves plus some geometric data and some subspaces of two-dimensional local fields.

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