Last Updated
：2025/12/06
anabelian geometry
Noun
countable
uncountable
(mathematics,
algebraic
geometry,
arithmetic
geometry)
A
theory
which
describes
the
way
in
which
the
algebraic
fundamental
group
G
of
an
algebraic
variety
(or
some
related
geometric
object)
V
determines
how
V
can
be
mapped
into
another
geometric
object
W,
under
the
assumption
that
G
is
very
far
from
being
abelian
(commutative).
Japanese Meaning
数学（代数幾何学や算術幾何学）において、非可換（すなわち、可換ではない）性質を持つ代数基本群が、ある代数多様体あるいは関連する幾何学的対象の、他の対象への写像可能性をどのように決定づけるかを記述する理論
Sense（1）
(mathematics,
algebraic
geometry,
arithmetic
geometry)
A
theory
which
describes
the
way
in
which
the
algebraic
fundamental
group
G
of
an
algebraic
variety
(or
some
related
geometric
object)
V
determines
how
V
can
be
mapped
into
another
geometric
object
W,
under
the
assumption
that
G
is
very
far
from
being
abelian
(commutative).
（ plural ）
Quizzes for review
(mathematics, algebraic geometry, arithmetic geometry) A theory which describes the way in which the algebraic fundamental group G of an algebraic variety (or some related geometric object) V determines how V can be mapped into another geometric object W, under the assumption that G is very far from being abelian (commutative).
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See correct answer
anabelian geometry
Researchers in anabelian geometry investigate how the algebraic fundamental group of a variety, when far from abelian, determines the ways the variety can map into other geometric objects.
See correct answer
Researchers in anabelian geometry investigate how the algebraic fundamental group of a variety, when far from abelian, determines the ways the variety can map into other geometric objects.
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English - English
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