Abstract
We outline a method for computing the tangent cone of a space curve at any of its points. We rely on the theory of regular chains and Puiseux series expansions. Our approach is novel in that it explicitly constructs the tangent cone at arbitrary and possibly irrational points without using a standard basis.
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Alvandi, P., Maza, M.M., Schost, É., Vrbik, P. (2015). A Standard Basis Free Algorithm for Computing the Tangent Cones of a Space Curve. In: Gerdt, V., Koepf, W., Seiler, W., Vorozhtsov, E. (eds) Computer Algebra in Scientific Computing. CASC 2015. Lecture Notes in Computer Science(), vol 9301. Springer, Cham. https://doi.org/10.1007/978-3-319-24021-3_4
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DOI: https://doi.org/10.1007/978-3-319-24021-3_4
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