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An Algorithm for Computing Weierstrass Points

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Algorithmic Number Theory (ANTS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2369))

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Abstract

We develop algorithms for computing differentiations and Weierstrass points of algebraic curves in any characteristic. As an application we explain how this can be used to compute special models of curves together with a map to ℙ1 of low degree.

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Author information

Authors and Affiliations

  1. Computer Science Department, University of Bristol, Woodland Road, BS8 1UB, UK

    Florian Hess

Authors
  1. Florian Hess
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Editor information

Editors and Affiliations

  1. School of Mathematics and Statistics, F07, University of Sydney, Sydney, NSW, 2006, Australia

    Claus Fieker  & David R. Kohel  & 

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© 2002 Springer-Verlag Berlin Heidelberg

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Hess, F. (2002). An Algorithm for Computing Weierstrass Points. In: Fieker, C., Kohel, D.R. (eds) Algorithmic Number Theory. ANTS 2002. Lecture Notes in Computer Science, vol 2369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45455-1_29

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  • DOI: https://doi.org/10.1007/3-540-45455-1_29

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43863-2

  • Online ISBN: 978-3-540-45455-7

  • eBook Packages: Springer Book Archive

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