Computing Rational Points on Rank 0 Genus 3 Hyperelliptic Curves-Reference-Cited by-同舟云学术

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Computing Rational Points on Rank 0 Genus 3 Hyperelliptic Curves

Published:2021 Issue: Volume: Page:449-460
ISSN:2365-9564
Container-title:Arithmetic Geometry, Number Theory, and Computation
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Author:

Frutos-Fernández María Inés de,Hashimoto Sachi

Publisher

Springer International Publishing

Link

https://link.springer.com/content/pdf/10.1007/978-3-030-80914-0_14

Reference17 articles.

1. J. S. Balakrishnan, Genus 3 hyperelliptic curves with Mordell–Weil rank 0, 2018, http://math.bu.edu/people/jbala/GWAG/g3oddr0.txt.

2. J. S. Balakrishnan, F. Bianchi, V. Cantoral-Farfán, M. Çiperiani, and A. Etropolski, “Chabauty-Coleman experiments for genus 3 hyperelliptic curves,” in Research Directions in Number Theory, ser. Association for Women in Mathematics Series. Springer, 2019, vol. 19, pp. 67–90.

3. J. S. Balakrishnan, R. W. Bradshaw, and K. S. Kedlaya, “Explicit Coleman integration for hyperelliptic curves,” in Algorithmic Number Theory. ANTS 2010, Lecture Notes in Computer Science. Springer, Berlin, 2010, vol. 6197, pp. 16–31.

4. A. R. Booker, J. Sijsling, A. V. Sutherland, J. Voight, and D. Yasaki, “A database of genus-2 curves over the rational numbers,” LMS J. Comput. Math., vol. 19, no. suppl. A, pp. 235–254, 2016.

5. W. Bosma, J. Cannon, and C. Playoust, “The Magma Algebra System. I. The User Language,” J. Symbolic Comput., vol. 24, no. 3-4, pp. 235–265, 1997.

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1. Chabauty–Coleman Computations on Rank 1 Picard Curves;Arithmetic Geometry, Number Theory, and Computation;2021

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