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Full text | |
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 |