Aspects of Galois theory

edited by Helmut Völklein ... [et al.]

Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This is a collection of papers from the participants of a conference on Galois theory, and brings together articles from some of the world's leading experts in this field. Topics are centred around the Inverse Galois Problem, comprising the full range of methods and approaches in this area, making this an invaluable resource for all those whose research involves Galois theory.

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[目次]

  • 1. Galois theory of semilinear transformations S. Abhyankar
  • 2. Some arithmetic properties of algebraic covers P. Debes
  • 3. Tools for the computation of algebraic covers J.-M. Couveignes
  • 4. Infinite towers of unramified curve covers defined over a number field G. Frey, E. Kani and H. Volklein
  • 5. Modular towers of noncongruence curves M. Fried
  • 6. Embedding problems and adding branch points D. Harbater
  • 7. On beta and gamma functions associated with the Grothendieck-Teichmuller group Y. Ihara
  • 8. Arithmetically exceptional functions and elliptic curves P. Mueller
  • 9. Tangential base points and Eisenstein power series H. Nakamura
  • 10. Braid-abelian tuples in Sp(p,n) J. G. Thompson and H. Volklein.

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この本の情報

書名 Aspects of Galois theory
著作者等 Völklein, Helmut
Harbater David
Muller Peter
Thompson J.G.
Voelklein Helmut
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 1999
ページ数 viii, 282 p.
大きさ 23 cm
ISBN 0521637473
NCID BA42196106
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言語 英語
出版国 イギリス
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