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- W2485586803 abstract "In the present paper, we prove the {it finiteness} of the set of {it moderate} rational points of a once-punctured elliptic curve over a number field. This {it finiteness} may be regarded as an analogue for a once-punctured elliptic curve of the well-known {it finiteness} of the set of torsion rational points of an abelian variety over a number field. In order to obtain the {it finiteness}, we discuss the {it center} of the image of the pro-$l$ outer Galois action associated to a hyperbolic curve. In particular, we give, under the assumption that $l$ is {it odd}, a {it necessary and sufficient condition} for a certain hyperbolic curve over a generalized sub-$l$-adic field to have {it trivial center}." @default.
- W2485586803 created "2016-08-23" @default.
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- W2485586803 date "2016-06-01" @default.
- W2485586803 modified "2023-09-25" @default.
- W2485586803 title "Finiteness of the Moderate Rational Points of Once-punctured Elliptic Curves" @default.
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- W2485586803 doi "https://doi.org/10.14492/hokmj/1470139405" @default.
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