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  • Cited by 8
  • Volume 1: Around Grothendieck's Esquisse d'un Programme
  • Edited by Leila Schneps, Centre National de la Recherche Scientifique (CNRS), Paris, Pierre Lochak, Centre National de la Recherche Scientifique (CNRS), Paris
Publisher:
Cambridge University Press
Online publication date:
April 2013
Print publication year:
1997
Online ISBN:
9780511758874
DOI:
https://doi.org/10.1017/CBO9780511758874
Subjects:
Mathematics (general), Mathematics, Number Theory, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (242)
Information

Book description

The first of two companion volumes on anabelian algebraic geometry, this book contains the famous, but hitherto unpublished manuscript 'Esquisse d'un Programme' (Sketch of a Program) by Alexander Grothendieck. This work, written in 1984, fourteen years after his retirement from public life in mathematics, together with the closely connected letter to Gerd Faltings, dating from 1983 and also published for the first time in this volume, describe a powerful program of future mathematics, unifying aspects of geometry and arithmetic via the central point of moduli spaces of curves; it is written in an artistic and informal style. The book also contains several articles on subjects directly related to the ideas explored in the manuscripts; these are surveys of mathematics due to Grothendieck, explanations of points raised in the Esquisse, and surveys on progress in the domains described there.

Reviews

‘These two volumes, containing both gentle introductions and research papers dealing with various aspects of Grothendieck’s Esquisse, represent not only invaluable resources but also matière à rêver.’

Source: Monatshefte für Mathematik

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