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Section conjecture
In
anabelian geometry
, a
branch
of
algebraic geometry
, the
section
conjecture
gives
a
conjectural
description
of the
splittings
of the
group homomorphism
, where is a
complete
smooth curve
of
genus
at least 2 over a
field
that is
finitely generated
over, in terms of
decomposition
groups
of
rational points
of. The conjecture was introduced by in a
1983
letter
to
Gerd Faltings
.
