Moduli Spaces and Arithmetic Dynamics

Moduli Spaces and Arithmetic Dynamics

by Joseph H. Silverman
     
 

ISBN-10: 0821875825

ISBN-13: 9780821875827

Pub. Date: 03/03/2012

Publisher: American Mathematical Society

This monograph studies moduli problems associated to algebraic dynamical systems. It is an expanded version of the notes for a series of lectures delivered at a workshop on Moduli Spaces and the Arithmetic of Dynamical Systems at the Bellairs Research Institute, Barbados, in 2010. The author's goal is to provide an overview, with enough details and pointers to the

Overview

This monograph studies moduli problems associated to algebraic dynamical systems. It is an expanded version of the notes for a series of lectures delivered at a workshop on Moduli Spaces and the Arithmetic of Dynamical Systems at the Bellairs Research Institute, Barbados, in 2010. The author's goal is to provide an overview, with enough details and pointers to the existing literature, to give the reader an entry into this exciting area of current research. Topics covered include: (1) Construction and properties of dynamical moduli spaces for self-maps of projective space. (2) Dynatomic modular curves for the space of quadratic polynomials. (3) The theory of canonical heights associated to dynamical systems. (4) Special loci in dynamical moduli spaces, in particular the locus of post-critically finite maps. (5) Field of moduli and fields of definition for dynamical systems.

Product Details

ISBN-13:
9780821875827
Publisher:
American Mathematical Society
Publication date:
03/03/2012
Series:
CRM Monograph Series, #30
Pages:
140
Product dimensions:
7.20(w) x 10.20(h) x 0.50(d)

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