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arxiv: 1212.3391 · v1 · pith:WKX7XXNNnew · submitted 2012-12-14 · 🧮 math.DS · math.AG· math.NT

Semi-stable Reduction Implies Minimality of the Resultant

classification 🧮 math.DS math.AGmath.NT
keywords fielddynamicalimpliesminimalitynumberreductionresultantsemi-stable
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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.

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