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arXiv · 2502.16338

Unboundedness of shapes of unit lattices in totally real cubic fields

Emilio Corso·Federico Rodriguez Hertz
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Abstract

The question of the distribution of shapes of unit lattices in number fields, pioneered by Margulis and Gromov, has lately attracted considerable interest, not least because of the lack of available results. Here we prove that the set of shapes of orders of totally real cubic fields is unbounded in the modular surface.

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Emilio Corso, Federico Rodriguez Hertz. 2025-02-22. Unboundedness of shapes of unit lattices in totally real cubic fields. https://arxiv.org/abs/2502.16338

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