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The Poincaré series associated with finitely many monomial valuations
Published online by Cambridge University Press: 02 May 2003
Abstract
Let $(R,M)$ be a Noetherian local domain, $F$ its quotient field and $v$ a valuation of $F$ centred at $R$. In the hope of understanding the valuation $v$, a useful tool is the so-called graded algebra relative to $v$, $gr_{v}R$. Its study can be understood as an attempt to approach the problem of classifying valuations. On the other hand, $gr_{v}R$ is also an object of interest since it can be provided with a geometrical meaning [15].
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 3 , May 2003 , pp. 433 - 443
- Copyright
- 2003 Cambridge Philosophical Society
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