Takao Watanabe: A survey and a complement of fundamental Hermite constants


Submission: 2003, Jan 9

This is a survey article of Hermite's constant and its generalization to linear algebraic groups defined over a global field. As a complement, we describe a behavior of fundamental Hermite constants under central isogenies.

2000 Mathematics Subject Classification: 11R56, 11G35, 14G25

Keywords and Phrases: Hermite constant, flag variety

Full text: dvi.gz 24 k, dvi 57 k, ps.gz 243 k, pdf.gz 148 k, pdf 173 k.

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