# Abelian varieties and curves in ${W}_{d}\left(C\right)$

Compositio Mathematica (1991)

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

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top## How to cite

topAbramovich, 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

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- [10] Silverman, J., Curves of low genus in the symmetric square of a curve, unpublished.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

## Citations in EuDML Documents

top- Olivier Debarre, Rachid Fahlaoui, Abelian varieties in ${W}_{d}^{r}\left(C\right)$ and points of bounded degree on algebraic curves
- Francesco Veneziano, Quadratic integral solutions to double Pell equations
- Edoardo Ballico, On linearly normal strange curves
- Olivier Debarre, Degrees of curves in abelian varieties
- Dan Abramovich, Subvarieties of semiabelian varieties

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