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arXiv · 2402.07604

The Siegel Modular Group is the Lattice of Minimal Covolume in the Symplectic Group

Amir Džambić·Kristian Holm·Ralf Köhl
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Abstract

Let $n \geqslant 2$. We prove that, up to conjugation, $\mathrm{Sp}_{2n} (\mathbf{Z})$ is the unique lattice in $\mathrm{Sp}_{2n} (\mathbf{R})$ of the smallest covolume.

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Amir Džambić, Kristian Holm, Ralf Köhl. 2024-02-12. The Siegel Modular Group is the Lattice of Minimal Covolume in the Symplectic Group. https://arxiv.org/abs/2402.07604

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