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On Cuspidal Sections of Algebraic Fundamental Groups by Stix, Jakob is a scholarly article available to read on EtoBox.

What is On Cuspidal Sections of Algebraic Fundamental Groups about?

Rational points in the boundary of a hyperbolic curve over a field with sufficiently nontrivial Kummer theory are the source for an abundance of sections of the fundamental group exact sequence. We follow and refine Nakamura's approach towards these boundary sections. For example, we obtain a weak anabelian theorem for hyperbolic genus 0 curves over quite general fields including for example the maximal abelian extension of the rational numbers.

Author

Stix, Jakob

Published

2008

Language

EN