I‑AIMS Institute for Artificial Intelligence
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Computing heights on weighted projective spaces

Jorgo Mandili, Tanush Shaska

I-AIMS paper 2018-4 · Published in Contemp. Math. 724 (2019), 149–160 · 2019

In this note we extend the concept of height on projective spaces to that of weighted height on weighted projective spaces and show how such a height can be computed. We prove some of the basic properties of the weighted height and show how it can be used to study hyperelliptic curves over ℚ. Some examples are provided from the weighted moduli space of binary sextics and octavics.

MSC classes: Primary 14H45; Secondary 14H10

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