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Certain curves over Q (t) of genus 2, 3, 4
Authors:Andrew Bremner
Institution:Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA, US
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.
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