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Classifying Cubic Surfaces over Finite Fields Using Orbiter

  • Anton BettenEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10931)

Abstract

We present two algorithms to classify cubic surfaces over a finite fields. An implementation in the programming system Orbiter will be described.

Keywords

Cubic surface Clebsch Algebra Geometry Classification Finite field 

Notes

Acknowledgements

The author thanks Alain Esculier [7] for providing the original figure of the Clebsch surface with the accompanying Povray [10] source code. He also thanks Professor Hirschfeld and Fatma Karaoglu for stimulating discussions during a Sabbatical stay at the University of Sussex in the Fall of 2017.

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Colorado State UniversityFort CollinsUSA

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