Packets in Grothendieck's Section Conjecture

Abstract

Using the identification of sections of the Galois group of the ground field into the arithmetic fundamental group with neutral fiber functors of the category of finite connections, we define the "packets" in Grothendieck's section conjecture and show their properties predicted by him.

22 pages (no changes on the mathematical content but the exposition has been shortened)

Cited by in corpus (3)

• Some implications between Grothendieck's anabelian conjectures
• On the birational section conjecture with strong birationality assumptions
• On Grothendieck's section conjecture for orbicurves