Rational Points and Arithmetic of Fundamental Groups Evidence for the Section Conjecture /

• Main Author: Stix, Jakob (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2054
• Subjects: Mathematics.; Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.

The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, it...