Real Algebraic and Analytic Geometry

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82. Francesca Acquistapace, Fabrizio Broglia, José F. Fernando, Jesús M. Ruiz:
On the Pythagoras Numbers of Real Analytic Curves.

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Submission: 2006, January 14.

We show that the Pythagoras number of a real analytic curve is the supremum of the Pythagoras numbers of its singularities, or that supremum plus 1. This includes cases when the Pythagoras number is infinite.

Mathematics Subject Classification (2000): 14P99,11E25,32B10,32S05.

Keywords and Phrases: Pythagoras number, sum of squares, analytic curve germ, global analytic curve.

Full text, 10p.: pdf 121k.

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