Artin approximation theorem
In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin () in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case k = C); and an algebraic version of this theorem in 1969.
Wikipage disambiguates
primaryTopic
Artin approximation theorem
In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin () in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case k = C); and an algebraic version of this theorem in 1969.
has abstract
In mathematics, the Artin appr ...... rsion of this theorem in 1969.
@en
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
589,658,760
authorlink
hypernym
comment
In mathematics, the Artin appr ...... rsion of this theorem in 1969.
@en
label
Artin approximation theorem
@en