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Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)
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Description for Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)
Hardcover. Offering an introduction to Berkovich analytic spaces and to potential theory and rational iteration on the Berkovich line, this book contains applications to arithmetic geometry and arithmetic dynamics. It presents a description of the topological structure of the Berkovich projective line and then introduces the Hsia kernel. Series: Mathematical Surveys and Monographs. Num Pages: 454 pages, Illustrations. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 186 x 263 x 29. Weight in Grams: 990.
The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field. In addition to providing a concrete and 'elementary' introduction to Berkovich analytic spaces and to potential theory and rational iteration on the Berkovich line, the book contains applications to arithmetic geometry and arithmetic dynamics. A number of results in the book are new, and most have not previously appeared in book form. Three appendices - on analysis, R-trees, and Berkovich's general theory of analytic spaces - are included to make the ... Read more
The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field. In addition to providing a concrete and 'elementary' introduction to Berkovich analytic spaces and to potential theory and rational iteration on the Berkovich line, the book contains applications to arithmetic geometry and arithmetic dynamics. A number of results in the book are new, and most have not previously appeared in book form. Three appendices - on analysis, R-trees, and Berkovich's general theory of analytic spaces - are included to make the ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
454
Place of Publication
Providence, United States
ISBN
9780821849248
SKU
V9780821849248
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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