Juanita Duque-Rosero, Boston University
Authors: 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]

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.

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