Finite families of plane valuations: value semigroup, graded algebra and Poincaré series
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Título
Finite families of plane valuations: value semigroup, graded algebra and Poincaré seriesFecha de publicación
2012ISBN
978-0-8218-6900-0Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.ams.org/books/conm/566/Versión
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Resumen
In this paper, the authors are interested in some applications of valuation theory to algebraic geometry and, particularly, to singularity theory. The aim of this paper is to provide a concise survey of some aspects ... [+]
In this paper, the authors are interested in some applications of valuation theory to algebraic geometry and, particularly, to singularity theory. The aim of this paper is to provide a concise survey of some aspects of the theory of plane valuations, adding some comments upon more general valuations when it is possible. For those valuations, authors describe value semigroup, graded algebra and Poincar ́e series emphasizing on the recent study of the same algebraic objects for finite families of valuations and their relation with the corresponding ones for reduced germs of plane curves. [-]
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Contemporary Mathematics, 2012, Vol. 566Derechos de acceso
First published in Contemporary Mathematics in volume 566, published by the American Mathematical Society)
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