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Some remarks on the computation of Pythagoras numbers of real irreducible algebroid curves through Gram matrices

Fernando Galván, José Francisco and Quarez, Ronan (2004) Some remarks on the computation of Pythagoras numbers of real irreducible algebroid curves through Gram matrices. Journal of Algebra, 274 (1). pp. 64-67. ISSN 0021-8693

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Abstract

We clarify a difficulty that appears in [R. Quarez, J. Algebra 238 (2001) 139] to bound the Pythagoras number of a real irreducible algebroid curve by its multiplicity.


Item Type:Article
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15167
References:

M.D. Choi, Z.D. Dai, T.Y. Lam, B. Reznick,The Pythagoras number of some affine algebras and local algebras, J. Reine Angew. Math. 336 (1982) 45–82.

R. Quarez, Pythagoras numbers of real algebroid curves and Gram matrices, J. Algebra 238 (2001) 139–158.

J.M. Ruiz, Aspectos aritméticos y geométricos del problema decimoséptimo de Hilbert para gérmenes analíticos,Tesis Doctoral, Univ. Complutense de Madrid,1983.

Deposited On:10 May 2012 08:53
Last Modified:06 Feb 2014 10:18

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