Plan. Fields and projective geometry. Milnor K-theory and Galois cohomology. Almost Abelian Anabelian geometry – Bogomolov’s program. Introduction. view of the goal of understanding to what extent the anabelian geometry of hyperbolic curves over p-adic local fields can be made “absolute”. Our main result . Abstract. This paper forms the first part of a three-part series in which we treat various topics in absolute anabelian geometry from the point of view of develop-.
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The classification of anabelian varieties for number fields was shown in. Sign up using Facebook. If you’d like videos, here is a series of lectures on related topics, including a long series by Pop on anabelian geometry.
There are lots of errors even concerning basic definitions and inconsistencies. David Corwin 6, 6 66 More recently, Mochizuki introduced and anableian a so called mono-anabelian geometry which restores, for a certain class of hyperbolic curves over number fields, the curve from its algebraic fundamental group.
Sign up or log in Sign up using Google. Notes, 1, Abdus Salam Int. Autumn Kent 9, 3 45 A concrete example is the case of curves, which may be affine as well as projective. Grothendieck conjectured that the algebraic fundamental geomftry G of Ca profinite groupdetermines C itself i. Japan 28no. The article Matsumoto, Makoto, Arithmetic fundamental groups and moduli of curves.
A relation with the theory of motive s is in. No it is a collection of conference talksbut this is also a good source.
Niels 3, 12 Views Read Edit View history. Jones’ theoremAanbelian conjecture. In anabelian geometry one studies how much information about a space X X specifically: That is quite a list of authors.
Anabelian geometry – Wikipedia
Isomorphisms of Galois groupsJ. Caen, Caen,pp. I want to study anabelian geometry, but unfortunately I’m having difficulties in finding some materials about it. Anabelian geometry study materials? Florian Pop, Lectures on Anabelian phenomena in geometry and arithmetic pdf.
I don’t recommend that book. If you start with Szamuely as an introduction, you could then move on to this afterwards. This was proved by Mochizuki.
Geomegry Classes and Anabelian Geometry pdf.