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Parametrizations of subsets of the space of valuations

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Author(s):
Novacoski, Josnei ; Silva de Souza, Caio Henrique
Total Authors: 2
Document type: Journal article
Source: MATHEMATISCHE ZEITSCHRIFT; v. 307, n. 4, p. 25-pg., 2024-08-01.
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. (AU)

FAPESP's process: 21/13531-0 - Graded rings associated to limit key polynomials
Grantee:Caio Henrique Silva de Souza
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 17/17835-9 - The relation between toric geometry, theory of local blow-ups and ramification theory and their applications in valuation theory
Grantee:Josnei Antonio Novacoski
Support Opportunities: Research Grants - Young Investigators Grants