Search
Menu
Home
Sources
About
Contacts
Geometric class field theory
In
mathematics
,
geometric
class field theory
is an
extension
of
class
field theory
to
higher-dimensional
geometrical
objects: much the same way as
class field
theory
describes the
abelianization
of the
Galois group
of a
local
or
global field
, geometric class
field
theory describes the abelianized
fundamental group
of
higher
dimensional
schemes
in terms of
data
related to
algebraic cycles
.
