Finite families of plane valuations: value semigroup, graded algebra and Poincaré series
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Finite families of plane valuations: value semigroup, graded algebra and Poincaré seriesDate
2012ISBN
978-0-8218-6900-0Type
info:eu-repo/semantics/articlePublisher version
http://www.ams.org/books/conm/566/Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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. 566Rights
First published in Contemporary Mathematics in volume 566, published by the American Mathematical Society)
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info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
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- MAT_Articles [749]