Semi-stable reduction implies minimality of the resultant

DOI10.1016/j.jalgebra.2013.09.008zbMath1306.14022arXiv1212.3391OpenAlexW2073804676MaRDI QIDQ405881

Lucien Szpiro, Phillip Williams, Michael Tepper

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3391

zbMATH Keywords

geometric invariant theorybad reductionminimal resultantmoduli for dynamical systems

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Rational and birational maps (14E05) Solving polynomial systems; resultants (13P15) Arithmetic dynamics on general algebraic varieties (37P55) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (5)

A new equivariant in nonarchimedean dynamics ⋮ Equidistribution of the crucial measures in non-Archimedean dynamics ⋮ Reduction type of smooth plane quartics ⋮ Current trends and open problems in arithmetic dynamics ⋮ The minimal resultant locus

Cites Work

• Unnamed Item
• Global minimal models for endomorphisms of projective space
• Resultant and conductor of geometrically semi-stable self maps of the projective line over a number field or function field
• Geometric reductivity over arbitrary base
• The semistable reduction problem for the space of morphisms on \(\mathbb P^n\)
• The space of rational maps on \(\mathbf P^1\)
• Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields
• The space of morphisms on projective space
• Minimal models for rational functions in a dynamical setting
• The minimal resultant locus

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