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Limit key polynomials as p-polynomials

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Author(s):
de Moraes, Michael ; Novacoski, Josnei
Total Authors: 2
Document type: Journal article
Source: Journal of Algebra; v. 579, p. 22-pg., 2021-04-02.
Abstract

The main goal of this paper is to characterize limit key polynomials for a valuation nu on K[x]. We consider the set Psi(alpha) a of key polynomials for nu of degree alpha. We set pto be the exponent characteristic of nu. Our first main result (Theorem1.1) is that if F is a limit key polynomial for.a, then the degree of Fis prafor some r is an element of N. Moreover, in Theorem1.2, we show that there exist Q is an element of Psi(alpha) and F a limit key polynomial for Psi(alpha), such that the Q-expansion of Fonly has terms which are powers of p. (C) 2021 Elsevier Inc. All rights reserved. (AU)

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