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Classification of quintic eutactic forms
Author(s):
Christian
Batut.
Journal:
Math. Comp.
70
(2001),
395-417.
MSC (2000):
Primary 11H55, 11H56;
Secondary 11E10
Posted:
July 21, 2000
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Abstract:
From the classical Voronoi algorithm, we derive an algorithm to classify quadratic positive definite forms by their minimal vectors; we define some new invariants for a class, for which several conjectures are proposed. Applying the algorithm to dimension 5 we obtain the table of the 136 classes in this dimension, we enumerate the 118 eutactic quintic forms, and we verify the Ash formula.
References:
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Additional Information:
Christian
Batut
Affiliation:
A2X, Mathématiques, Université Bordeaux I, 351, cours de la Libération, 33405 Talence cedex, France
Email:
christian.batut@math.u-bordeaux.fr
DOI:
10.1090/S0025-5718-00-01295-3
PII:
S 0025-5718(00)01295-3
Keywords:
Quadratic form,
minimal vectors,
eutactic form
Received by editor(s):
February 13, 1997
Received by editor(s) in revised form:
June 19, 1997
Posted:
July 21, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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