Abstract
We generalize the explicit quadratic Chabauty techniques for integral points on odd degree hyperelliptic curves and for rational points on genus 2 bielliptic curves to arbitrary number fields using restriction of scalars. This is achieved by combining equations coming from Siksek’s extension of classical Chabauty with equations defined in terms of p-adic heights attached to independent continuous idele class characters. We give several examples to show the practicality of our methods.
Original language | American English |
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Pages (from-to) | 185-232 |
Number of pages | 48 |
Journal | Israel Journal of Mathematics |
Volume | 243 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jun 2021 |
All Science Journal Classification (ASJC) codes
- General Mathematics