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Finiteness results for modular curves of genus at least 2

✍ Scribed by Baker, Matthew H.; Gonzalez-Jimenez, Enrique; Gonzalez, Josep; Poonen, Bjorn


Book ID
118225439
Publisher
John Hopkins University Press
Year
2005
Tongue
English
Weight
840 KB
Volume
127
Category
Article
ISSN
0002-9327

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πŸ“œ SIMILAR VOLUMES


Rational Points on Picard Groups of Some
✍ Sangtae Jeong πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 163 KB

For an algebraic curve CΓ‚K defined by y 2 =x p +a (a Γ‚ K p ) with relative genus ( p&1)Γ‚2 and absolute genus 0, we prove that the Picard group of divisors of degree 0, denoted Pic 0 K (C), of a curve CΓ‚K fixed by the action of the Galois group G= gal(K sep Γ‚K) has a finite number of K-rational point