Abstract
We develop an algorithm for computing isomorphisms and automorphisms of algebraic function fields of transcendence degree one in characteristic zero and positive characteristic.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system I: The user language. J. Symbolic Comp. 24(3/4), 235–265 (1997)
Comp. algebra group. Magma (2004), http://www.maths.usyd.edu.au:8000/u/magma/
Hess, F.: An algorithm for computing Weierstrass points. In: Fieker, C., Kohel, D.R. (eds.) ANTS 2002. LNCS, vol. 2369, pp. 357–371. Springer, Heidelberg (2002)
Hess, F.: Computing Riemann-Roch spaces in algebraic function fields and related topics. J. Symbolic Comp. 33(4), 425–445 (2002)
Kant group. Kash (2004), http://www.math.tu-berlin.de/~kant
Klüners, J.: Algorithms for function fields. Exp. Math. 11, 171–181 (2002)
Stichtenoth, H.: Über die Automorphismengruppe eines algebraischen Funktionenk örpers von Primzahlcharakteristik. Arch. Math. 24, 527–544 (1973)
Stichtenoth, H.: Algebraic Function Fields and Codes. Springer, Berlin (1993)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hess, F. (2004). An Algorithm for Computing Isomorphisms of Algebraic Function Fields. In: Buell, D. (eds) Algorithmic Number Theory. ANTS 2004. Lecture Notes in Computer Science, vol 3076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24847-7_19
Download citation
DOI: https://doi.org/10.1007/978-3-540-24847-7_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22156-2
Online ISBN: 978-3-540-24847-7
eBook Packages: Springer Book Archive