Semi-stable reduction implies minimality of the resultant

Lucien Szpiro; Michael Tepper; Phillip Williams

doi:10.1016/j.jalgebra.2013.09.008

Semi-stable reduction implies minimality of the resultant

Lucien Szpiro
, Michael Tepper
, Phillip Williams

Division of Engineering and Science (Abington)

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	489-498
Number of pages	10
Journal	Journal of Algebra
Volume	397
DOIs	https://doi.org/10.1016/j.jalgebra.2013.09.008
State	Published - Jan 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2013.09.008

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title = "Semi-stable reduction implies minimality of the resultant",

abstract = "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.",

author = "Lucien Szpiro and Michael Tepper and Phillip Williams",

year = "2014",

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AU - Tepper, Michael

AU - Williams, Phillip

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UR - https://www.scopus.com/pages/publications/84884952531#tab=citedBy

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DO - 10.1016/j.jalgebra.2013.09.008

M3 - Article

AN - SCOPUS:84884952531

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VL - 397

SP - 489

EP - 498

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Semi-stable reduction implies minimality of the resultant

Abstract

All Science Journal Classification (ASJC) codes

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