The method of quadratic Chabauty was a groundbreaking development on the problem of explicitly determining the set of rational points on a curve. A crucial step of this method is the computation of values of local height functions at primes of bad reduction. In this talk, I will discuss algorithms and provide practical examples of computing these local heights for hyperelliptic curves. This is joint work with Alexander Betts, Sachi Hashimoto, and Pim Spelier.
Local heights computations for quadratic Chabauty
Juanita Duque-Rosero, Boston UniversityAuthors: Alexander Betts, Juanita Duque-Rosero, Sachi Hashimoto, and Pim Spelier.
2023 AWM Research Symposium
Recent Advances in Curves and Abelian Varieties [Organized by Renee Bell, Padmavathi Srinivasan, and Isabel Vogt]