Cited By
View all- Volcheck E(2005)Computing in the jacobian of a plane algebraic curveAlgorithmic Number Theory10.1007/3-540-58691-1_60(221-233)Online publication date: 4-Jun-2005
Noether's S-transformation simplifies curve singularities rationally: a local analysis
Pages 164 - 172
References
[1]
Shreeram S. Abhyankar and C.L. Bajaj. Computations on algebraic curves. In P. Gianni, editor, Proceedings of the International Symposium on Symbolic and Algebraic Computation, pages 274-284. Springer Lecture Notes in Computer Science, 1988.
[2]
Shreeram S. Abhyankar. Algebraic Geometry for Scientists and Engineers, volume 35 of Mathemahcal Surveys and Monographs. American Mathematical Society, 1990.
[3]
B. Buchberger, G.E. Collins, and R. Loos, editors. Computer Algebra" Symbolic and Algebraic Computation. Springer Verlag, 1983.
[4]
Egbert Brieskorn and Horst KnSrrer. Plane Algebraic Curves. Birkh~iuser, 1986.
[5]
John Canny. Some algebraic and geometric computations in pspace. In Proceedings ACM STOC, pages 460-467, 1988.
[6]
William Fulton. Algebraic Curves. Addison- Wesley, 1989.
[7]
J.Dennis Lawrence. A Catalog of Special Plane Curves. Dover, 1972.
[8]
Max Noether. 0bet Fl~ichen, welche Schaaren rationaler Curven besitzen. Mathematische Annalen, Band 3, 1871.
[9]
Max Noether. Rationale Ausfiihrung der Operationen in der Theorie der algebraischen Functionen. Mathematische Annalen, Band 23, 1884.
[10]
I.G. Petrovskii and S.I~I. Nikolskii, editors. Algebraic Surfaces. Proceedings of the Steklov Institute of Mathematics. AMS, 1967.
[11]
Takkis Sakkalis and Rida Farouki. Singular points of algebraic curves. Journal of Symbolic Computation, 9:405-421, 1990.
[12]
J.Rafael Sendra and Franz Winkler. Symbolic parametrization of curves. Journal of Symbolic Computation, 12"607-631, 1991.
[13]
Jeremy Teitelbaum. The computational complexity of the resolution of plane curve singularities. Mathematics of Computation, 54(190)'797-837, 1990.
[14]
Robert J. Walker. Algebraic Curves. Springer- Verlag, 1978.
Index Terms
- Noether's S-transformation simplifies curve singularities rationally: a local analysis
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Published: 01 August 1993
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