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Parametrizations of subsets of the space of valuations

Commutative Algebra 2023-08-28 v1

Abstract

In this paper we present different ways to parametrize subsets of the space of valuations on K[x]K[x] extending a given valuation on KK. 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.

Keywords

Cite

@article{arxiv.2308.13322,
  title  = {Parametrizations of subsets of the space of valuations},
  author = {Josnei Antonio Novacoski and Caio Henrique Silva de Souza},
  journal= {arXiv preprint arXiv:2308.13322},
  year   = {2023}
}