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

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http://www.sciencedirect.com/science/article/pii/S0021869303006252
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Publication Date
2004
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Quarez, Ronan
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Academic Press
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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.
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UCM subjects
Geometria algebraica
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1201.01 Geometría Algebraica
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Citation
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.
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https://hdl.handle.net/20.500.14352/49909
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