[PDF.78hs] Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

[PDF.rk88] Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

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 | #3122986 in Books |  2010-03-10 | Original language:English |  10.00 x7.00 x1.25l,2.20 | File type: PDF | 428 pages

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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 ...

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