Parametrizations of subsets of the space of valuations

Josnei Antonio Novacoski; Caio Henrique Silva de Souza

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arXiv · 2308.13322

Parametrizations of subsets of the space of valuations

Josnei Antonio Novacoski·Caio Henrique Silva de Souza

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Abstract

In this paper we present different ways to parametrize subsets of the space of valuations on $K[x]$ extending a given valuation on $K$. We discuss the methods using pseudo-Cauchy sequences and approximation types. The method presented here is slightly different than the ones in the literature and we believe that our approach is more accurate.

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Josnei Antonio Novacoski, Caio Henrique Silva de Souza. 2023-08-25. Parametrizations of subsets of the space of valuations. https://arxiv.org/abs/2308.13322

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