Deformation Theory and the Tame Fundamental Group

DOI10.2307/1999835zbMath0461.14001OpenAlexW4252412286MaRDI QIDQ3910627

David Harbater

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1999835

zbMATH Keywords

deformationfundamental groupHurwitz familyalgebraisationetale cover

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35) Deformations and infinitesimal methods in commutative ring theory (13D10) Formal methods and deformations in algebraic geometry (14D15) Local deformation theory, Artin approximation, etc. (14B12)

Related Items

Galois groups and complete domains, The Automorphism Group of a Function Field, Conditions related to \(\pi_1\) of projective curves, Patching and thickening problems, Mock covers and Galois extensions

Cites Work

• Hurwitz schemes and irreducibility of moduli of algebraic curves
• Eliminating wild ramification
• Fields of definition of function fields and hurwitz families — groups as galois groups
• Galois Groups and Complex Multiplication
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