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Título:
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On the pythagoras numbers of real analytic set germs.
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Autores:
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Fernando Galván, José Francisco ;
Ruiz Sancho, Jesús María
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Tipo de documento:
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texto impreso
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Editorial:
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Société Mathématique de France, 2005
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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We Show that (i) the Pythagoras number of a real analytic set germ is the supremum of the Pythagoras numbers of the curve germs it contains, and (ii) every real analytic curve germ is contained in a real analytic surface germ with the same Pythagoras number (or Pythagoras number 2 if the curve is Pythagorean). This gives new examples and counterexamples concerning sums of squares and positive semidefinite analytic function germs.
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En línea:
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https://eprints.ucm.es/id/eprint/15159/1/11.pdf
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