Certain curves over Q(t) of genus 2, 3, 4

Authors
Bremner, A
Citation
A. Bremner, Certain curves over Q(t) of genus 2, 3, 4, ARCH MATH, 73(2), 1999, pp. 126-131
Citations number
3
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
73
Issue
2
Year of publication
1999
Pages
126 - 131
Database
ISI
SICI code
0003-889X(19990802)73:2<126:CCOQOG>2.0.ZU;2-G
Abstract
Examples are presented of curves over Q(t) of genus 2, 3, 4 with the proper ty that each curve possesses no global point over Q(t), yet the Jacobian va riety splits as a product of elliptic curves each of positive Q(t)-rank.