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Existence of simple Jacobian varieties of genus g with rank at least 4g + 5
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 121, Number 1, February 1999
- pp. 65-72
- 10.1353/ajm.1999.0008
- Article
- Additional Information
We prove the existence of infinitely many curves of genus g over the rational number field which have absolutely simple Jacobian varieties with Mordell-Weil rank at least 4g + 5.