Local deformations of positive-definite quadratic forms

We give a complete description of real numbers that are P -limit numbers for integer-valued positive-definite quadratic forms with unit coefficients of the squares. It is shown that each of these P -limit numbers is realized in the Tits quadratic form of a certain Dynkin diagram.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2012-12, Vol.64 (7), p.1019-1035
Main Authors: Bondarenko, V. M., Bondarenko, V. V., Pereguda, Yu. N.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We give a complete description of real numbers that are P -limit numbers for integer-valued positive-definite quadratic forms with unit coefficients of the squares. It is shown that each of these P -limit numbers is realized in the Tits quadratic form of a certain Dynkin diagram.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-012-0696-z