Bounds for the size of integral points on curves of genus zero
โ Scribed by D. Poulakis
- Book ID
- 110368056
- Publisher
- Akadmiai Kiad
- Year
- 2001
- Tongue
- English
- Weight
- 313 KB
- Volume
- 93
- Category
- Article
- ISSN
- 1588-2632
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๐ SIMILAR VOLUMES
## Abstract We compute the following upper bounds for the maximal arithmetic genus __P~a~(d,t__) over all locally Cohen โ Macaulay space curves of degree __d__, which are not contained in a surface of degree magnified image These bounds are sharp for t โค 4 abd any d โฅ t.
We exhibit a genus-2 curve C defined over QรฐTร which admits two independent morphisms to a rank-1 elliptic curve defined over QรฐTร: We describe completely the set of QรฐTร-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