Limit key polynomials as p-polynomials

Autor(es)

de Moraes, Michael ; Novacoski, Josnei

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 579, p. 22-pg., 2021-04-02.

Resumo

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)

• Processo FAPESP: 17/17835-9 - As relações entre geometria tórica, teoria de blow-ups locais e teoria de ramificação e suas applicações em teoria das valorizações
• Beneficiário: Josnei Antonio Novacoski
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores