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Rational Points on Weighted projective Spaces

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arxiv math/9812082 v1 pith:S5XUT2RE submitted 1998-12-14 math.AG math.NT

An-Wen Deng This is my paper · ORCID
classification math.AGmath.NT
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In this paper,we count the rational points on the weighted projective spaces defined over number fields w.r.t. ``size''. An asymptotic formula which generalizes the result of Schanuel's ``Heights in number fields'' is obtained. Furthermore, we count also the rational points on the product of weighted projective spaces.

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  1. Geometry-of-numbers over number fields and the density of ADE families of curves having squarefree discriminant

    math.NT 2025-05 conditional novelty 6.0 of 10

    Over any number field, the density of ADE-family curves with squarefree discriminant equals the product of local densities, by a number-field geometry-of-numbers sieve.

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