Computational aspects of algebraic curves, University of Idaho, USA, 26-28 May 2005 /

The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research in algebraic curves is r...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Conference on Computational Aspects of Algebraic Curves University of Idaho
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2005.
Colección:Lecture notes series on computing ; v. 13.
Temas:
Shaska, Tony, > 1967-
Curves, Algebraic > Data processing > Congresses.
Geometry, Algebraic > Data processing > Congresses.
Courbes algébriques > Informatique > Congrès.
Géométrie algébrique > Informatique > Congrès.
MATHEMATICS > Geometry > Algebraic.
Curves, Algebraic > Data processing.
Geometry, Algebraic > Data processing.
Conference papers and proceedings.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Preface
  • 2. Foreword by the editor
  • 3. A new proof for the non-degeneracy of the Frey-Rück pairing and a connection to isogenics over the base field / E.F. Schaefer
  • 4. Elliptic curve torsion points and division polynomials / I.A. Burhanuddin and M.A. Huang
  • 5. Detecting complex multiplication / J.D. Achter
  • 6. Simple numerical uniformatization of elliptic curves / M. Seppälä
  • 7. On the moduli space of Klein four covers of the projective line / D. Glass and R. Pries
  • 8. Field of moduli and field of definition for curves of genus 2 / G. Cardona and J. Quer
  • 9. Explicit computation of Hurwitz spectra / R. Vogeler
  • 10. Non-normal Belyi p-gonal surfaces / A. Wootton
  • 11. Hyperelliptic curves of genus 3 with prescribed automorphism group / J. Gutierrez, D. Sevilla, and T. Shaska
  • 12. Curves over finite fields with many points : an introduction / J. Voight
  • 13. Hyperelliptic curves of genus 3 and 4 in characteristic 2 / Y. Demirbas
  • 14. Modular representations on some Riemann-Roch spaces of modular curves X(N) / D. Joyner and A. Ksir
  • 15. Genus two curves covering elliptic curves : a computational approach / T. Shaska
  • 16. A question about Pic(X) as a G-module / D. Goldstein, R. Guralnick, and D. Joyner
  • 17. Galois groups of prime degree polynomials with nonreal roots / A. Bialostocki and T. Shaska
  • 18. Counting generating systems of a finite group from given conjugacy classes / R. Staszewski, H. Völklein, and G. Wiesend
  • 19. Group action on genus 3 curves and their Weierstrass points / H. Babu and P. Venkataraman.

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