Riemann surfaces, plane algebraic curves and their period matrices

Journal of Symbolic Computation

Volumn 26, Issue 6, 1998, Pages 789-803

  Gianni, Patrizia ^c   Seppälä, Mika ^a   Silhol, Robert ^c   Trager, Barry ^b  

^a FLORIDA STATE UNIVERSITY   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032350188     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1998.0240     Document Type: Article

References (14)

1. Arbarello, E., Cornalba, M., Griffiths, P. A., Harris, J. (1984). Geometry of Algebraic Curves, Volume I, Grundlehren der mathematischen Wissenschaften, 267. Springer, Berlin.
2. Brieskorn, E., Knörrer, H. (1986). Plane Algebraic Curves . Basel-Boston-Stuttgart, Birkhäuser.
3. Golub, G. H., Van Loan, C. F. (1996). Matrix Computations, Johns Hopkins Studies in the Mathematical Sciences, 3rd edn. Baltimore, MD, Johns Hopkins University Press.
4. Hartshorne, R. (1977). Algebraic Geometry, Graduate Texts in Mathematics, 52. Springer, Berlin.
5. Kra, I. (1984). On the vanishing of and spanning set for Poincaré series for cusp forms. Acta Math., 153, 129-143.
6. Lazard, D. (1981). Résolution des systèmes d'équations algébriques. Theoret. Comput. Sci., 15, 77-110.
7. Lazard, D. (1983). Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations. In Computer Algebra (London, 1983), Lecture Notes in Computer Science, 146-156. Springer, Berlin.
8. Petri, K. (1922). Über die invariante Darstellung algebraischer Funktionen einer Veränderlichen. Math. Ann., 88, 242-289.
9. Poincaré, H. (1884). Sur les Groupes des équations Linéaires. Acta Math., IV, 201-312.
10. Semmler, K.-D., Venetjoki, T., Lavinen, J., Renggli, L., Seppälä, M. (1993-1996). Cars, program for defining Riemann surfaces for computations. For more information see www.math.fsu.edu/~seppala/Symbolic/Software/Cars/description.html
11. Seppälä, M. (1994). Computation of period matrices of real algebraic curves. Discrete Comput. Geom., 11, 65-81.
12. Seppälä, M., Sorvali, T. (1986). Parametrization of Möbius groups acting in a disk. Comment Math. Helvetici, 61, 149-160.
13. Smolander, P. (1998). Numerical approximation of bicanonical embeddings. Ann. Acad. Sci. Fenn. Math. Diss. 119, 1-48.
14. Wolpert, S. (1982). The Fenchel-Nielsen deformation. Ann. Math. Ser. II, 115, 501-528.