Abstract
We construct sequences of smooth nonisotrivial curves of every genus at least two, defined over a rational function field of positive characteristic, such that the (finite) number of rational points of the curves in the sequence cannot be uniformly bounded.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 291-293 |
| Number of pages | 3 |
| Journal | New York Journal of Mathematics |
| Volume | 18 |
| State | Published - Apr 26 2012 |
| Externally published | Yes |
Keywords
- Algebraic curves
- Function fields
- Rational points
ASJC Scopus subject areas
- General Mathematics