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Título:
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Toric geometry and the Semple-Nash modification
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Autores:
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González Pérez, Pedro Daniel ;
Teissier, Bernard
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Tipo de documento:
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texto impreso
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Editorial:
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Real Academia Ciencias Exactas Físicas Y Naturales, 2014-10
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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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This paper proposes some material towards a theory of general toric varieties without the assumption of normality. Their combinatorial description involves a fan to which is attached a set of semigroups subjected to gluing-up conditions. In particular it contains a combinatorial construction of the blowing up of a sheaf of monomial ideals on a toric variety. In the second part it is shown that over an algebraically closed base field of zero characteristic the Semple-Nash modification of a general toric variety is isomorphic to the blowing up of the sheaf of logarithmic jacobian ideals and that in any characteristic this blowing-up is an isomorphism if and only if the toric variety is non singular.
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En línea:
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https://eprints.ucm.es/id/eprint/12720/4/0912.0593.pdf
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