Page 139 - Geometric Modeling and Algebraic Geometry

140 T. Beck and J. Schicho
9. Robin Hartshorne. Algebraic geometry. Springer-Verlag, New York, 1977. Graduate
Texts in Mathematics, No. 52.
10. F. Hess. Computing Riemann-Roch spaces in algebraic function fields and related topics.
J. Symbolic Comput., 33(4):425–445, 2002.
11. Erik Hillgarter and Franz Winkler. Points on algebraic curves and the parametrization
problem. In Wang, Dongming (ed.), Automated deduction in geometry. International
workshop, Toulouse, France, September 27–29, 1996. Proceedings. Berlin: Springer.
Lect. Notes Comput. Sci. 1360, 189-207 . 1998.
12. Nathan Jacobson. Finite-dimensional division algebras over fields. Springer-Verlag,
Berlin, 1996.
13. Josef Schicho. On the choice of pencils in the parametrization of curves. J. Symbolic
Comput., 14(6):557–576, 1992.
14. J. Rafael Sendra and Franz Winkler. Symbolic parametrization of curves. J. Symbolic
Comput., 12(6):607–631, 1991.
15. J. Rafael Sendra and Franz Winkler. Parametrization of algebraic curves over optimal
field extensions. J. Symbolic Comput., 23(2-3):191–207, 1997. Parametric algebraic
curves and applications (Albuquerque, NM, 1995).
16. Igor R. Shafarevich. Basic algebraic geometry. 1. Springer-Verlag, Berlin, second edition,
1994. Varieties in projective space, Translated from the 1988 Russian edition and with
notes by Miles Reid.
17. Denis Simon. Solving quadratic equations using reduced unimodular quadratic forms.
Math. Comp., 74(251):1531–1543 (electronic), 2005.
18. Mark van Hoeij. Rational parametrizations of algebraic curves using a canonical divisor.
J. Symbolic Comput., 23(2-3):209–227, 1997. Parametric algebraic curves and applica-
tions (Albuquerque, NM, 1995).
19. Oscar Zariski and Pierre Samuel. Commutative algebra. Vol. II. Springer-Verlag, New
York, 1975. Reprint of the 1960 edition, Graduate Texts in Mathematics, No. 29.