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On uniform bounds for rational points on rational curves of arbitrary degree

โœ Scribed by Rault, Patrick X.


Book ID
121386075
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
323 KB
Volume
133
Category
Article
ISSN
0022-314X

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Uniform bounds on the number of rational
โœ L. Kulesz; G. Matera; E. Schost ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 357 KB

We exhibit a genus-2 curve C defined over QรฐTรž which admits two independent morphisms to a rank-1 elliptic curve defined over QรฐTรž: We describe completely the set of QรฐTรž-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