Citation
Jr. Quine et Pl. Zhang, Extremal symplectic lattices, ISR J MATH, 108, 1998, pp. 237-251
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172
→ ACNP
Volume
108
Year of publication
1998
Pages
237 - 251
Database
ISI
SICI code
0021-2172(1998)108:<237:ESL>2.0.ZU;2-4
Abstract
We study the Jacobians of the genus 3 Picard and Fermat curves with respect
to the problem of maximizing the minimum non-zero norm. We use criteria fo
r symplectic lattices related to the criteria of perfect and eutactic for c
lassical lattices. We show that the Picard curve is a local maximum, but th
e Fermat curve is not.