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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Perron transforms and Hironaka's game

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Author(s):
de Moraes, Michael [1] ; Novacoski, Josnei [2]
Total Authors: 2
Affiliation:
[1] Dept Matemat ICMC USP, Av Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
[2] Dept Matemat UFSCar, Rodovia Washington Luis 235, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 563, p. 100-110, SEP 1 2020.
Web of Science Citations: 0
Abstract

In this paper we present a matricial result that generalizes Hironaka's game and Perron transforms simultaneously. We also show how one can deduce the various forms in which the algorithm of Perron appears in proofs of local uniformization from our main result. (C) 2020 Published by Elsevier Inc. (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