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- W4289761777 abstract "Let $C$ be a hyperelliptic curve defined over $mathbb{Q}$, whose Weierstrass points are defined over extensions of $mathbb{Q}$ of degree at most three, and at least one of them is rational. Generalizing a result of R. Soleng (in the case of elliptic curves), we prove that any line bundle of degree $0$ on $C$ which is not torsion can be specialised into ideal classes of imaginary quadratic fields whose order can be made arbitrarily large. This gives a positive answer, for such curves, to a question by Agboola and Pappas." @default.
- W4289761777 created "2022-08-04" @default.
- W4289761777 creator A5015877798 @default.
- W4289761777 date "2018-07-08" @default.
- W4289761777 modified "2023-09-24" @default.
- W4289761777 title "From Picard groups of hyperelliptic curves to class groups of quadratic fields" @default.
- W4289761777 doi "https://doi.org/10.48550/arxiv.1807.02823" @default.
- W4289761777 hasPublicationYear "2018" @default.
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