Notes on the section conjecture of Grothendieck

Abstract

In this short note, we will give the key point of the section conjecture of Grothendieck, that is reformulated by monodromy actions. Here, we will also give the result of the section conjecture for algebraic schemes over a number field.

5 pages

References in corpus (6)

• Automorphism Groups of Quasi-galois Closed Arithmetic Schemes
• On the existence of geometric models for function fields in several variables
• On the arithmetic fundamental groups
• On the algebraic fundamental groups
• Notes on the quasi-galois closed schemes
• On the section conjecture of Grothendieck