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
3 - Descent of Base Field and the Rigidity Criterion
Published online by Cambridge University Press: 22 September 2009
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
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- Groups as Galois GroupsAn Introduction, pp. 40 - 60Publisher: Cambridge University PressPrint publication year: 1996