Abelian varieties and curves in W d ( C )

Dan Abramovich; Joe Harris

Compositio Mathematica (1991)

  • Volume: 78, Issue: 2, page 227-238
  • ISSN: 0010-437X

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Abramovich, Dan, and Harris, Joe. "Abelian varieties and curves in $W_d (C)$." Compositio Mathematica 78.2 (1991): 227-238. <http://eudml.org/doc/90088>.

@article{Abramovich1991,
author = {Abramovich, Dan, Harris, Joe},
journal = {Compositio Mathematica},
keywords = {map of smooth projective complex curves; degree of curves},
language = {eng},
number = {2},
pages = {227-238},
publisher = {Kluwer Academic Publishers},
title = {Abelian varieties and curves in $W_d (C)$},
url = {http://eudml.org/doc/90088},
volume = {78},
year = {1991},
}

TY - JOUR
AU - Abramovich, Dan
AU - Harris, Joe
TI - Abelian varieties and curves in $W_d (C)$
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 78
IS - 2
SP - 227
EP - 238
LA - eng
KW - map of smooth projective complex curves; degree of curves
UR - http://eudml.org/doc/90088
ER -

References

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  1. [1] Faltings, G. (1989). Diophantine approximation on abelian varieties (preprint). Zbl0734.14007MR1109353
  2. [2] Arbarello, E., Cornalba, M., Griffiths, P., Harris, J., Geometry of Algebraic Curves. I. Springer, 1985. Zbl0559.14017
  3. [3] Accola, R., On Castelnuovo's inequality for algebraic curves. I. Trans. Amer. Math. Soc., 251 (1979) 357-373. Zbl0417.14021MR531984
  4. [4] Donagi, R., The Tetragonal Construction, Bul. Amer. Math. Soc., 4, 181-185 (1981). Zbl0491.14016MR598683
  5. [5] Gross, B., Rohrlich, D., Some results on the Mordell-Weil group of the jacobian of the Fermat curve. Zbl0369.14011
  6. [6] Harris, J. and Silverman, J., Bielliptic curves and symmetric products (preprint). Zbl0727.11023
  7. [7] Hindry, M., Points quadratiques sur les courbes, C. R. Acad Sci. Paris, t. 305, Série I, pp. 219-221, 1987. Zbl0677.14005MR907946
  8. [8] Mazur, B., Modular curves and the Eisenstein ideal, Publ. I.H.E.S.47, 1977. Zbl0394.14008
  9. [9] Mumford, D., Prym Varieties. I. In Cont. to Analysis, Academic Press, N.Y., 1974. Zbl0299.14018MR379510
  10. [10] Silverman, J., Curves of low genus in the symmetric square of a curve, unpublished. 
  11. [11] Vojta, P., Arithmetic discriminants and quadratic points on curves, to appear. Zbl0749.14018MR1085268
  12. [12] Vojta, P., On algebraic points on curves, preprint. Zbl0731.14015

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