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2011, ISBN: 9783642225338

[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: 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. BUCHBESPRECHUNG: From the reviews: "The present monograph consists of two parts. In the first part a class of pseudo-periodic maps resp. mapping classes of closed surfaces is studied and classified up to conjugation (those of 'negative twist'). This is motivated also by the second part on the topology of degenerating families of Riemann surfaces over a disk ... . exposition is self-contained, elementary and written with great care for details ... this makes arguments and proofs quite long, but certainly easy and pleasant to read." (Bruno Zimmermann, Zentralblatt MATH, Vol. 1239, 2012) "Surface mapping classes of algebraically finite type were introduced by Nielsen in 1944. ... Nielsen's arguments are sometimes considered as too vague, and one of the main objects of this book is to make Nielsen's assertions precise. ... The results in this book are given with detailed proofs. The book is well written and it should be useful for low-dimensional topologists and algebraic geometers." (Athanase Papadopoulos, Mathematical Reviews, Issue 2012 h) INHALT: Part I: Conjugacy Classification of Pseudo-periodic Mapping Classes.- 1 Pseudo-periodic Maps.- 2 Standard Form.- 3 Generalized Quotient.- 4 Uniqueness of Minimal Quotient.- 5 A Theorem in Elementary Number Theory.- 6 Conjugacy Invariants.- Part II: The Topology of Degeneration of Riemann Surfaces.- 7 Topological Monodromy.- 8 Blowing Down Is a Topological Operation.- 9 Singular Open-Book., DE, [SC: 0.00], Neuware, gewerbliches Angebot, H: 235mm, B: 155mm, 240, [GW: 420g], Selbstabholung und Barzahlung, PayPal, offene Rechnung, Banküberweisung, Internationaler Versand

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ISBN: 9783642225338

ID: 978364222533

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. Yukio Matsumoto, José Mar Montesinos-amilibia, Books, Pseudo-periodic Maps and Degeneration of Riemann Surfaces Books, Springer-Verlag/Sci-Tech/Trade

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ISBN: 9783642225338

ID: 9783642225338

Mathematics; Algebraic Geometry; Manifolds and Cell Complexes (incl. Diff.Topology) 14-XX; 57-XX, chorizo spaces, degeneration of Riemann surface, pseudo-periodic maps, topological monodromy Books, Springer Shop

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ISBN: 9783642225338

Paperback, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG], The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two., Algebraic Geometry

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** Details of the book - Pseudo-periodic Maps and Degeneration of Riemann Surfaces**

EAN (ISBN-13): 9783642225338

ISBN (ISBN-10): 3642225330

Hardcover

Paperback

Publishing year: 2011

Publisher: Springer-Verlag GmbH

238 Pages

Weight: 0,396 kg

Language: Englisch

Book in our database since 16.02.2009 00:05:15

Book found last time on 21.12.2018 19:01:27

ISBN/EAN: 9783642225338

ISBN - alternate spelling:

3-642-22533-0, 978-3-642-22533-8

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