M. Acosta

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20002026

most citedValuations in algebraic field extensions

43 citations · 74 across the 13 of their papers we have counts for

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Showing 2006 · math.ACShow all

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math.AC2006★ 2 cited

Rank one discrete valuations of power series fields

F. J. Herrera Govantes, M. A. Olalla Acosta, J. L. Vicente Cordoba

In this paper we study the rank one discrete valuations of the field $k ((X_{1}, ..., X_{n}))$ whose center in $k\lcor\X\rcor$ is the maximal ideal. In sections 2 to 6 we give a construc…

math.AC2006★ 43 cited

Valuations in algebraic field extensions

F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky

Let $K \to L$ be an algebraic field extension and $ν$ a valuation of $K$ . The purpose of this paper is to describe the totality of extensions ${ν^{'}}$ of $ν$ to $L$ using…