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) |
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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
- Mathematics(all)