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Título:
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Sums of squares of linear forms
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Autores:
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Fernando Galván, José Francisco ;
Ruiz Sancho, Jesús María ;
Scheiderer, Claus
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Tipo de documento:
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texto impreso
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Editorial:
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International Press, 2006
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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: Teoría de números
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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Let k be a real field. We show that every non-negative homogeneous quadratic polynomial f (x(1),..., x(n)) with coefficients in the polynomial ring k[t] is a sum of 2n center dot tau(k) squares of linear forms, where tau(k) is the supremum of the levels of the finite non-real field extensions of k. From this result we deduce bounds for the Pythagoras numbers of affine curves over fields, and of excellent two-dimensional local henselian rings.
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En línea:
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https://eprints.ucm.es/id/eprint/15130/4/SUMS%20OF%20SQUARES%20OF%20LINEAR%20FORMS.pdf
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