19/10/27 12:30:44.74 EUeYkluT.net
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つづき
”The inverse Galois problem asks what groups can arise as fundamental groups (or Galois groups of field extensions).
Anabelian geometry, for example Grothendieck's section conjecture, seeks to identify classes of varieties which are determined by their fundamental groups.[5]”
だとか
URLﾘﾝｸ(en.wikipedia.org)
Etale fundamental group
(抜粋)
The etale or algebraic fundamental group is an analogue in algebraic geometry, for schemes, of the usual fundamental group of topological spaces.
Contents
1 Topological analogue/informal discussion
2 Formal definition
3 Examples and theorems
3.1 Schemes over a field of characteristic zero
3.2 Schemes over a field of positive characteristic and the tame fundamental group
3.3 Further topics
Further topics
From a category-theoretic point of view, the fundamental group is a functor
{Pointed algebraic varieties} → {Profinite groups}.
The inverse Galois problem asks what groups can arise as fundamental groups (or Galois groups of field extensions).
Anabelian geometry, for example Grothendieck's section conjecture, seeks to identify classes of varieties which are determined by their fundamental groups.[5]
つづく