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Towards Extending Fulton’s Algorithm for Computing Intersection Multiplicities Beyond the Bivariate Case

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Computer Algebra in Scientific Computing (CASC 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12865))

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Abstract

We provide a procedure which partially extends Fulton’s intersection multiplicty algorithm to the general case, using a generalization of his seven properties. This procedure leads to a novel, standard basis free approach for computing intersection multiplicities beyond the case of two planar curves, which can cover cases the current standard basis free techniques cannot.

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References

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Author information

Authors and Affiliations

  1. Department of Computer Science, The University of Western Ontario, London, Canada

    Marc Moreno Maza & Ryan Sandford

Authors
  1. Marc Moreno Maza
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  2. Ryan Sandford
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Corresponding author

Correspondence to Ryan Sandford .

Editor information

Editors and Affiliations

  1. Université de Lille, Villeneuve d’Ascq, France

    François Boulier

  2. Coventry University, Coventry, UK

    Matthew England

  3. Plekhanov Russian University of Economics, Moscow, Russia

    Timur M. Sadykov

  4. Institute of Theoretical and Applied Mechanics, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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Moreno Maza, M., Sandford, R. (2021). Towards Extending Fulton’s Algorithm for Computing Intersection Multiplicities Beyond the Bivariate Case. In: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2021. Lecture Notes in Computer Science(), vol 12865. Springer, Cham. https://doi.org/10.1007/978-3-030-85165-1_14

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  • DOI: https://doi.org/10.1007/978-3-030-85165-1_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85164-4

  • Online ISBN: 978-3-030-85165-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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