Overview
- The first exposition of foundational material on the arithmetic of fundamental groups with respect to the Section Conjecture of anabelian Geometry: from the history of the subject to the state of the art of the conjecture.
- Numerous approaches to the Section Conjecture are discussed with open questions to stimulate future research.
- Assuming the basics, the more advanced chapters are self contained and can be read independently
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2054)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (18 chapters)
-
Basic Arithmetic of Sections
-
On the Passage from Local to Global
-
Analogues of the Section Conjecture
Keywords
About this book
Reviews
From the book reviews:
“The book under review, resulting from the author’s dissertation … is both a research monograph and a thorough presentation of the arithmetic and geometry of Grothendieck’s section conjecture from the foundations to the current state of the art. … It will be useful not only to specialists, as it is accessible to anyone familiar with the basics of modern algebraic geometry and the theory of algebraic fundamental groups.” (Marco A. Garuti, Mathematical Reviews, May, 2014)Authors and Affiliations
Bibliographic Information
Book Title: Rational Points and Arithmetic of Fundamental Groups
Book Subtitle: Evidence for the Section Conjecture
Authors: Jakob Stix
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-30674-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-30673-0Published: 19 October 2012
eBook ISBN: 978-3-642-30674-7Published: 19 October 2012
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XX, 249
Topics: Algebraic Geometry, Number Theory