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arXiv · 2201.11174

Essential Minimum in Families of lines

Marcos Isai Morales Inostroza
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Abstract

We apply general methods to generate upper and lower bounds for the essential minimum of a specific family of height functions. In particular, the results shown in this article apply to the case of the Zhang-Zagier height. Furthermore, we can find intervals, where the images of these heights are dense. Our main tool to find upper bounds and intervals of density, is a refinement of the classical Fekete-Szego theorem due to Burgos Gil, Philippon, Rivera-Letelier and Sombra.

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Marcos Isai Morales Inostroza. 2022-01-26. Essential Minimum in Families of lines. https://arxiv.org/abs/2201.11174

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