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arXiv · 1801.06250

Computing heights on weighted projective spaces

Jorgo Mandili·Tony Shaska
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Abstract

In this note we extend the concept 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.

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Jorgo Mandili, Tony Shaska. 2018-01-18. Computing heights on weighted projective spaces. https://arxiv.org/abs/1801.06250

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