The defect formula

Autor(es)

Nart, Enric ; Novacoski, Josnei

• Tipo de documento: Artigo Científico
• Fonte: ADVANCES IN MATHEMATICS; v. 428, p. 44-pg., 2023-06-12.

Resumo

In this paper we present a characterization for the defect of simple algebraic extensions of valued fields. This character-ization generalizes the known result for the henselian case, namely that the defect is the product of the relative degrees of limit augmentations. The main tool used here is the graded algebra associated to a valuation on a polynomial ring. Let Kh be a henselization of a valued field K. Another relevant result proved in this paper is that for every valuation & mu;h on Kh[x], with restriction & mu; on K[x], the corresponding map G & mu; G & mu;h of graded algebras is an isomorphism. & COPY; 2023 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 21/11246-7 - Avanços no problema da uniformização local em característica positiva
• Beneficiário: Josnei Antonio Novacoski
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• 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