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

Published 12 Feb 2024 in math.GR and math.NT | (2402.07604v3)

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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