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A note on the one-dimensional systems of formal equations

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Publication:917616
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DOI10.5802/aif.1179zbMath0705.14003OpenAlexW2318645830MaRDI QIDQ917616

Juan Elias

Publication date: 1989

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_3_633_0

zbMATH Keywords

Artin approximationalgebroid curvesystem of formal equations


Mathematics Subject Classification ID

Formal power series rings (13F25) Étale and flat extensions; Henselization; Artin approximation (13B40) Algebraic functions and function fields in algebraic geometry (14H05) Local deformation theory, Artin approximation, etc. (14B12)




Cites Work

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  • A theorem on solutions of analytic equations with applications to deformations of complex structures
  • Arc structure of singularities
  • Algebraic approximation of structures over complete local rings
  • 1-dimensional Cohen-Macaulay rings
  • On the arithmetic genera and the effective genera of algebraic curves
  • On the analytic equivalence of curves
  • The Reduction Number of a One-Dimensional Local Ring
  • Analytic Equations and Singularities of Plane Curves
  • Courbes Tracees sur un Germe D'Hypersurface
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