- Title
- A standard basis free algorithm for computing the tangent cones of a space curve
- Creator
- Alvandi, Parisa; Maza, Marc Moreno; Schost, Éric; Vrbik, Paul
- Relation
- 17th International Workshop on Computer Algebra in Scientific Computing (CASC 2015). LNCS 9301: Computer Algebra in Scientific Computing: Proceedings (Aachen, Germany 14-18 September, 2015) p. 45-60
- Publisher Link
- http://dx.doi.org/10.1007/978-3-319-24021-3_4
- Publisher
- Springer
- Resource Type
- conference paper
- Date
- 2015
- Description
- 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.
- Subject
- computational algebraic geometry; tangent cone; regular chain; Puiseux series
- Identifier
- http://hdl.handle.net/1959.13/1323252
- Identifier
- uon:24762
- Identifier
- ISBN:9783319240206
- Language
- eng
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