Semi-stable reduction implies minimality of the resultant

For a dynamical system on Pn 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.

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Bibliographic Details
Published inJournal of algebra Vol. 397; pp. 489 - 498
Main Authors Szpiro, Lucien, Tepper, Michael, Williams, Phillip
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.01.2014
Subjects
Bad reduction
Minimal resultant
Semi-stable reduction
Semi-stable reduction
Minimal resultant
Bad reduction
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Summary:For a dynamical system on Pn 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.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2013.09.008