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Pseudo-periodic Maps and Degeneration of Riemann Surfaces eBook
$54.99 Original price was: $54.99.$11.00Current price is: $11.00.
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Author(s): Yukio Matsumoto; José María Montesinos-Amilibia
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Publisher: Springer
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Print ISBN: 9783642225338, 3642225330
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eText ISBN: 9783642225345, 3642225349
Delivery: Can be download immediately after purchasing. For new customer, we need process for verification from 30 mins to 12 hours.
Version: PDF/EPUB. If you need EPUB and MOBI Version, please send contact us.
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The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two. This class of homeomorphisms was originally introduced by J. Nielsen in 1944 as an extension of periodic maps. In this book, the conjugacy classes of the (chiral) pseudo-periodic mapping classes are completely classified, and Nielsen’s incomplete classification is corrected. The second part applies the results of the first part to the topology of degeneration of Riemann surfaces. It is shown that the set of topological types of all the singular fibers appearing in one parameter holomorphic families of Riemann surfaces is in a bijective correspondence with the set of conjugacy classes of the pseudo-periodic maps of negative twists. The correspondence is given by the topological monodromy.
This is a digital product.
Pseudo-periodic Maps and Degeneration of Riemann Surfaces is written by Yukio Matsumoto; José María Montesinos-Amilibia and published by Springer. The Digital and eTextbook ISBNs for Pseudo-periodic Maps and Degeneration of Riemann Surfaces are 9783642225345, 3642225349 and the print ISBNs are 9783642225338, 3642225330.
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