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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the algebraic fundamental group of smooth varieties in characteristic $p>0$
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by Hélène Esnault and Amit Hogadi PDF
Trans. Amer. Math. Soc. 364 (2012), 2429-2442 Request permission

Abstract:

We define an analog in characteristic $p>0$ of the proalgebraic completion of the topological fundamental group of a complex manifold.
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Additional Information
  • Hélène Esnault
  • Affiliation: Department of Mathematics, Universität Duisburg-Essen, 45117 Essen, Germany
  • MR Author ID: 64210
  • Email: esnault@uni-due.de
  • Amit Hogadi
  • Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India
  • Email: amit@math.tifr.res.in
  • Received by editor(s): April 11, 2010
  • Published electronically: January 17, 2012
  • Additional Notes: The author was supported by the DFG Leibniz Preis, the SFB/TR45, and the ERC Advanced Grant 226257
  • © Copyright 2012 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 2429-2442
  • MSC (2010): Primary 14F35
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05470-5
  • MathSciNet review: 2888213