Multiple Weierstrass points

J. H. Silverman; J. F. Voloch

Compositio Mathematica (1991)

  • Volume: 79, Issue: 1, page 123-134
  • ISSN: 0010-437X

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Silverman, J. H., and Voloch, J. F.. "Multiple Weierstrass points." Compositio Mathematica 79.1 (1991): 123-134. <http://eudml.org/doc/90096>.

@article{Silverman1991,
author = {Silverman, J. H., Voloch, J. F.},
journal = {Compositio Mathematica},
keywords = {Jacobian variety; abelian variety; Weierstrass points},
language = {eng},
number = {1},
pages = {123-134},
publisher = {Kluwer Academic Publishers},
title = {Multiple Weierstrass points},
url = {http://eudml.org/doc/90096},
volume = {79},
year = {1991},
}

TY - JOUR
AU - Silverman, J. H.
AU - Voloch, J. F.
TI - Multiple Weierstrass points
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 79
IS - 1
SP - 123
EP - 134
LA - eng
KW - Jacobian variety; abelian variety; Weierstrass points
UR - http://eudml.org/doc/90096
ER -

References

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  1. 1 Accola, R.: On generalized Weierstrass points on Riemann surfaces. Modular Functions in Analysis and Number Theory, ed. by T. A. Metzger, Lecture Notes in Math. and Stat., Univ. of Pittsburgh, Pittsburgh, PA: 1978. Zbl0532.14009MR732958
  2. 2 —: Topics in the Theory of Riemann Surfaces. Brown University: Lecture Notes September, 1989, to appear. 
  3. 3 Coleman, R.: Torsion points on curves, Galois Representations and Arithmetic Geometry. Adv. Stud. in Pure Math.12, 235-247 (1987). Zbl0653.14015MR948246
  4. 4 Duma, A.: Holomorphe Differentiale höherer Ordnung auf kompakten Riemannischen Flächen. Schrift. Univ. Münster14, 00-00 (1978). Zbl0394.30037MR515153
  5. 5 Faltings, G.: Diophantine approximation on Abelian varieties, Annals of Math., to appear. Zbl0734.14007MR1109353
  6. 6 Farkas, H.M., Kra, I.: Riemann surfaces, Grad. Texts Math. 71. New York: Springer-Verlag, 1980. Zbl0475.30001MR583745
  7. 7 Griffiths, P., Harris, J.: Principles of Algebraic Geometry. New York: John Wiley & Sons, 1978. Zbl0408.14001MR507725
  8. 8 Guerrero, I.: Automorphisms of compact Riemann surfaces and Weierstrass points. Riemann Surfaces and Related Topics, Proc. 1978 Stony Brook Conference. Princeton: Princeton Univ. Press, 1980. Zbl0462.30031MR624815
  9. 9 Horiuchi, R., Tanimoto, T.: Fixed points of automorphisms of compact Riemann surfaces and higher order Weierstrass points. Proc. Amer. Math. Soc.105, 856-860 (1989). Zbl0669.30035MR957265
  10. 10 Lewittes, J.: Automorphisms of compact Riemann surfaces. Amer. J. Math.85, 734-752 (1963). Zbl0146.10403MR160893
  11. 11 Mumford, D.: Abelian varieties. Bombay: Oxford University Press, 1970. Zbl0223.14022MR282985
  12. 12 Raynaud, M.: Courbes sur une variété abélienne et points de torsion. Invent. Math.71, 207-233 (1983). Zbl0564.14020MR688265
  13. 13 Stöhr, K.-O., Voloch, J.F.: Weierstrass points and curves over finite fields. Proc. London Math. Soc.52, 1-19 (1986). Zbl0593.14020MR812443
  14. 14 Takigawa, N.: Weierstrass points on compact Riemann surfaces with non-trivial automorphisms. J. Math. Soc. Japan33, 235-246 (1981). Zbl0462.30032MR607941

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