DUAL SYSTEMS OF INTEGER VECTORS (GENERAL QUESTIONS AND APPLICATIONS TO THE GEOMETRY OF POSITIVE QUADRATIC-FORMS)

Authors
RYSHKOV SS ERDAL RM
Citation
Ss. Ryshkov et Rm. Erdal, DUAL SYSTEMS OF INTEGER VECTORS (GENERAL QUESTIONS AND APPLICATIONS TO THE GEOMETRY OF POSITIVE QUADRATIC-FORMS), Mathematics of the USSR. Sbornik, 74(2), 1993, pp. 541-554
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematics of the USSR. Sbornik → ACNP
ISSN journal
00255734
Volume
74
Issue
2
Year of publication
1993
Pages
541 - 554
Database
ISI
SICI code
0025-5734(1993)74:2<541:DSOIV(>2.0.ZU;2-F
Abstract
After giving a brief introduction to our new ''theory of dual systems of integer vectors'', we give the first applications to the theory of positive quadratic forms. We consider the question of enumerating the L-polytopes of lattices, paying particular attention to the case of fi ve-dimensional lattices. The results reported in this paper were annou nced earlier by the authors in Doklady [1]; here we give the details.