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arXiv · 0804.0292

Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties

Bertrand Meyer
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Abstract

This paper explores the study of the general Hermite constant associated to the general linear group and its irreducible representations, as defined by T. Watanabe. To that end, a height, which naturally applies to flag varieties, is built and notions of perfection and eutaxy characterising extremality are introduced. Finally we acquaint some relations (e.g. with Korkine--Zolotareff reduction), upper bounds and computation relative to these constants.

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BibTeXRIS

Bertrand Meyer. 2008-04-02. Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties. https://arxiv.org/abs/0804.0292

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