Abstract
Examples are presented of curves over Q(t) of genus 2, 3, 4 with the property that each curve possesses no global point over Q(t), yet the Jacobian variety splits as a product of elliptic curves each of positive Q(t)-rank.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 126-131 |
| Number of pages | 6 |
| Journal | Archiv der Mathematik |
| Volume | 73 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1999 |
ASJC Scopus subject areas
- General Mathematics