000 | 03150nam a22004815i 4500 | ||
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001 | 978-3-642-22534-5 | ||
003 | DE-He213 | ||
005 | 20190213151303.0 | ||
007 | cr nn 008mamaa | ||
008 | 110815s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642225345 _9978-3-642-22534-5 |
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024 | 7 |
_a10.1007/978-3-642-22534-5 _2doi |
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050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
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072 | 7 |
_aPBMW _2thema |
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082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aMatsumoto, Yukio. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aPseudo-periodic Maps and Degeneration of Riemann Surfaces _h[electronic resource] / _cby Yukio Matsumoto, José María Montesinos-Amilibia. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
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300 |
_aXVI, 240 p. 55 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2030 |
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505 | 0 | _aPart 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. | |
520 | _aThe 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. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
700 | 1 |
_aMontesinos-Amilibia, José María. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642225338 |
776 | 0 | 8 |
_iPrinted edition: _z9783642225352 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2030 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-22534-5 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c10160 _d10160 |