An algorithm for computing the Weierstrass normal form

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An algorithm for computing the Weierstrass normal form

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1995 international symposium on Symbolic and algebraic computation table of contents

Montreal, Quebec, Canada

Pages: 90 - 95

Year of Publication: 1995

ISBN:0-89791-699-9

Author

Mark van Hoeij

Department of mathematics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 26, Citation Count: 2

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	D. Le Brigand, J.J. Risler, Algorithme de Brill-Noether et codes de Goppa, Bull. Soc. math. France, 116 231-253 (1988)
	2	D. G. Cantor, Computing in the Jacobian of an Hyperelliptic Curve, Math. of Comp. Vol. 48, No. 177, 95-101 (1987)
	3	Laurent Bertrand, On the implementation of a new algorithm for the computation of hyperelliptic integrals, Proceedings of the international symposium on Symbolic and algebraic computation, p.211-215, July 20-22, 1994, Oxford, United Kingdom [doi>10.1145/190347.190419]
	4	Henri Cohen, A course in computational algebraic number theory, Springer-Verlag New York, Inc., New York, NY, 1995
	5	Duval, D., (1989). Rational Puiseux expansions, Compos. Math. 70, No. 2, 119-154
	6	G. Hach~, D. Le Brigand Effective Construction o} Algebraic Geometry Codes Rapport de recherche INRIA, No 2267 (1994)
	7	R. Hartshorne, Algebraic Geometry Springer-Verlag (~977)
	8	Mark van Hoeij, An algorithm for computing an integral basis in an algebraic function field, Journal of Symbolic Computation, v.18 n.4, p.353-363, Oct. 1994 [doi>10.1006/jsco.1994.1051]
	9	Mark van Hoeij, Computing parameterizations of rational algebraic curves, Proceedings of the international symposium on Symbolic and algebraic computation, p.187-190, July 20-22, 1994, Oxford, United Kingdom [doi>10.1145/190347.190415]
	10	J.R. Sendra, F. Winkler, Determining Simple Points on Rational Algebraic Curves, RISC-Linz Report Series No. 93-23 (1993)
	11	J. Rafael Sendra , Franz Winkler, Symbolic parametrization of curves, Journal of Symbolic Computation, v.12 n.6, p.607-631, Dec. 1991 [doi>10.1016/S0747-7171(08)80144-7]

CITED BY 2

	R. J. Stroeker , N. Tzanakis, Computing all integer solutions of a genus 1 equation, Mathematics of Computation, v.72 n.244, p.1917-1933, October 2003
	F. Hess, Computing Riemann---Roch spaces in algebraic function fields and related topics, Journal of Symbolic Computation, v.33 n.4, p.425-445, April 2002