Book contents
- Frontmatter
- Contents
- Preface
- Notation
- Part One The Basic Rigidity Criteria
- 1 Hilbert's Irreducibility Theorem
- 2 Finite Galois Extensions of ℂ(x)
- 3 Descent of Base Field and the Rigidity Criterion
- 4 Covering Spaces and the Fundamental Group
- 5 Riemann Surfaces and Their Function Fields
- 6 The Analytic Version of Riemann's Existence Theorem
- Part Two Further Directions
- References
- Index
6 - The Analytic Version of Riemann's Existence Theorem
Published online by Cambridge University Press: 22 September 2009
- Frontmatter
- Contents
- Preface
- Notation
- Part One The Basic Rigidity Criteria
- 1 Hilbert's Irreducibility Theorem
- 2 Finite Galois Extensions of ℂ(x)
- 3 Descent of Base Field and the Rigidity Criterion
- 4 Covering Spaces and the Fundamental Group
- 5 Riemann Surfaces and Their Function Fields
- 6 The Analytic Version of Riemann's Existence Theorem
- Part Two Further Directions
- References
- Index
Summary
- Type
- Chapter
- Information
- Groups as Galois GroupsAn Introduction, pp. 96 - 116Publisher: Cambridge University PressPrint publication year: 1996