Journal article icon

Journal article

On the "Section Conjecture" in anabelian geometry

Abstract:

Let X be a smooth projective curve of genus >1 over a field K which is finitely generated over the rationals. The section conjecture in Grothendieck's anabelian geometry says that the sections of the canonical projection from the arithmetic fundamental group of X onto the absolute Galois group of K are (up to conjugation) in one-to-one correspondence with K-rational points of X. The birational variant conjectures a similar correspondence where the fundamental group is replaced by the absol...

Expand abstract
Publication status:
Published

Actions


Access Document


Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Volume:
588
Issue:
588
Pages:
221-235
Publication date:
2003-05-15
DOI:
EISSN:
0075-4102
ISSN:
0075-4102
URN:
uuid:741094b9-cc5a-485d-bbe3-aca9ae4cbaf1
Source identifiers:
15032
Local pid:
pubs:15032
Language:
English
Keywords:

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP