Abstract
We construct families of certain hyper- and superelliptic curves that contain a (small) number of rational points. This leads to lower bounds for the ranks of Jacobians of certain high genus curves.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 115-132 |
| Number of pages | 18 |
| Journal | International Journal of Number Theory |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2011 |
Keywords
- Hyper- and superelliptic curves
- rank of Jacobian
- rational points
ASJC Scopus subject areas
- Algebra and Number Theory
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