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

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
Reviewed

		Thumbnail	File	Description	Size	Format