Exact bounds on the order of torsion points of curves of genus 1
β Scribed by V. A. Dem'yanenko
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Weight
- 368 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
We exhibit a genus-2 curve C defined over QΓ°TΓ which admits two independent morphisms to a rank-1 elliptic curve defined over QΓ°TΓ: We describe completely the set of QΓ°TΓ-rational points of the curve C and obtain a uniform bound on the number of Q-rational points of a rational specialization C t of
## Abstract We compute the following upper bounds for the maximal arithmetic genus __P~a~(d,t__) over all locally Cohen β Macaulay space curves of degree __d__, which are not contained in a surface of degree magnified image These bounds are sharp for t β€ 4 abd any d β₯ t.