Scientific article

Riemann surfaces with longest systole and an improved Voronoï algorithm

Published inArchiv der Mathematik, vol. 76, no. 3, p. 231-240
Publication date2001

In this paper we introduce a new method in order to find the Riemann surface M of a fixed topological type with the longest systole; it is based on a cell decomposition of the Teichmüller space of M. The method also works in the Euclidean case and is similar to the so-called Voronoï algorithm for positive definite quadratic forms, or equivalently, for lattice sphere packings. In particular, we give a new proof of Rogers' theorem.

Citation (ISO format)
SCHMUTZ SCHALLER, Paul. Riemann surfaces with longest systole and an improved Voronoï algorithm. In: Archiv der Mathematik, 2001, vol. 76, n° 3, p. 231–240. doi: 10.1007/s000130050564
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Article (Published version)
ISSN of the journal0003-889X

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