The space of rational maps on \(\mathbf P^1\)

DOI10.1215/S0012-7094-98-09404-2zbMath0966.14031arXivmath/9609212MaRDI QIDQ1974834

Joseph H. Silverman

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9609212

zbMATH Keywords

geometric invariant theorydiscrete dynamical systemspace of rational mapsaction of special linear group

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Rational and birational maps (14E05)

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Cites Work

• Families of rational maps and iterative root-finding algorithms
• The topology of spaces of rational functions
• A partial description of parameter space of rational maps of degree two. I
• Geometric reductivity over arbitrary base
• Introduction to Grothendieck duality theory
• Néron Models
• Geometry and Dynamics of Quadratic Rational Maps
• Periodic points, multiplicities, and dynamical units.
• A Partial Description of the Parameter Space of Rational Maps of Degree Two, Part 2
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