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Semi-stable Reduction Implies Minimality of the Resultant

Research paper by Lucien Szpiro, Michael Tepper, Phillip Williams

Indexed on: 13 Dec '12Published on: 13 Dec '12Published in: Mathematics - Dynamical Systems



Abstract

For a dynamical system on n-dimensional projective space over a number field or a function field, we show that semi-stable reduction implies the minimality of the resultant. We use this to show that every such dynamical system over a number field admits a globally minimal presentation.