algebraic fundamental group

短语

词形变化

algebraic fundamental groups 复数 algebraic fundamental groups

释义与例句

n.
  1. 1.

    A group which is an analogue for schemes of the fundamental group for topological spaces.

    数学

    1997, Frans Oort, The Algebraic Fundamental Group, Leila Schneps, Pierre Lochak (editors), Geometric Galois Actions 1: Around Grothendieck's Esquisse D'un Programme, Cambridge University Press, London Mathematical Society, page 78, Serre constructed an example of an algebraic variety X over a number field K plus two embeddings of K into ℂ such that the geometric fundamental groups of X_1( ℂ) and X_2( ℂ) are not isomorphic, while the algebraic fundamental groups (i.e. their profinite completions) clearly are isomorphic, see (Serre).