Local deformations of positive-definite quadratic forms
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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.
KeywordsQuadratic Form Linear Transformation Symmetric Matrix Local Deformation Dynkin Diagram
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- 1.V. M. Bondarenko and Yu. M. Pereguda, “On P-numbers of quadratic forms,” in: Geometry, Topology, and Their Applications, Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, 6, No. 2 (2009), pp. 474–477.Google Scholar