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A standard basis free algorithm for computing the tangent cones of a space curve

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2015) 9301 45-60
DOI: 10.1007/978-3-319-24021-3_4
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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., Moreno Maza, M., Schost, É., & Vrbik, P. (2015). A standard basis free algorithm for computing the tangent cones of a space curve. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9301, pp. 45–60). Springer Verlag. https://doi.org/10.1007/978-3-319-24021-3_4

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