anabelian geometry
/AE1 N AE1 B IY1 L IY0 AH0 N JH IY0 AA0 M AH0 T R IY0/noun
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(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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