Michael de Moraes

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math.AC2020

Limit key polynomials as $p$ -polynomials

Michael de Moraes, Josnei Novacoski

The main goal of this paper is to characterize limit key polynomials for a valuation $ν$ on $K [x]$ . We consider the set $Ψ_{α}$ of key polynomials for $ν$ of degree $α$ . We set $p$ b…

math.AC2019

Perron transforms and Hironaka's game

Michael de Moraes, Josnei Novacoski

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 al…

Limit key polynomials as p-polynomials

Perron transforms and Hironaka's game

Limit key polynomials as $p$ -polynomials