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arXiv · 1204.1745

Counting points of fixed degree and bounded height

Martin Widmer
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Abstract

We consider the set of points in projective $n$-space that generate an extension of degree $e$ over given number field $k$, and deduce an asymptotic formula for the number of such points of absolute height at most $X$, as $X$ tends to infinity. We deduce a similar such formula with instead of the absolute height, a so-called adelic-Lipschitz height.

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Martin Widmer. 2012-04-08. Counting points of fixed degree and bounded height. https://doi.org/10.4064/aa140-2-4

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