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pro vyhledávání: '"Acosta, M. A. Olalla"'
Let $\iota:K\hookrightarrow L\cong K(x)$ be a simple transcendental extension of valued fields, where $K$ is equipped with a valuation $\nu$ of rank 1. That is, we assume given a rank 1 valuation $\nu$ of $K$ and its extension $\nu'$ to $L$. Let $(R_
Externí odkaz:
http://arxiv.org/abs/1406.0657
Publikováno v:
EMS Series of Congress Report, Vol. 10, 2014, "Valuation Theory in Interaction", pp 252-265
This paper is an extended version of the talk given by Miguel Olalla at the International Conference on Valuation Theory in El Escorial in July 2011. Its purpose is to provide an introduction to our joint paper "Extending a valuation centered in a lo
Externí odkaz:
http://arxiv.org/abs/1211.0398
Publikováno v:
Proc. London Math. Soc. (2012) 105 (3): 571-621
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, dominating R (not necessarily birationally). Let v|K be the restriction of v to K; by definition, v|K is centered at R. Let \hat{R} denote the m-adic compl
Externí odkaz:
http://arxiv.org/abs/1007.4658
Publikováno v:
Comm. Algebra, 35 (2007), n\^A? 8, 2533-2551
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 construction of a system of parametric equations describing such valuations. T
Externí odkaz:
http://arxiv.org/abs/math/0605225
Publikováno v:
J. Algebra, 312 (2007) (2), 1033-1074
Let $K\to L$ be an algebraic field extension and $\nu$ a valuation of $K$. The purpose of this paper is to describe the totality of extensions $\left\{\nu'\right\}$ of $\nu$ to $L$ using a refined version of MacLane's key polynomials. In the basic ca
Externí odkaz:
http://arxiv.org/abs/math/0605193
Publikováno v:
Rev. Mat.Iberoamericana 19 (2003), No. 2, 467-482
This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also classify all the discrete rank one valuations of fields of power series
Externí odkaz:
http://arxiv.org/abs/math/0212203
Publikováno v:
J. Number Theory 96, 76-88 (2002)
It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n ($4 \leq n \leq 10$, or n = 12) lie in a one-parameter family. However, this fact does not appear to have been used ever for computing the tors
Externí odkaz:
http://arxiv.org/abs/math/0011066
Autor:
Acosta, M. A. Olalla
In this paper we study the rank one discrete valuations of $k((X_1,... ,X_n))$ whose center in $k\lcor\X\rcor$ is the maximal ideal $(\X)$. In sections 2 to 6 we give a construction of a system of parametric equations describing such valuations. This
Externí odkaz:
http://arxiv.org/abs/math/0010313
Akademický článek
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Publikováno v:
Proceedings of the London Mathematical Society; Sep2012, Vol. 105 Issue 3, p571-621, 51p
