The Resource Pseudo-periodic Maps and Degeneration of Riemann Surfaces, by Yukio Matsumoto, José María Montesinos-Amilibia, (electronic resource)

Pseudo-periodic Maps and Degeneration of Riemann Surfaces, by Yukio Matsumoto, José María Montesinos-Amilibia, (electronic resource)

Label
Pseudo-periodic Maps and Degeneration of Riemann Surfaces
Title
Pseudo-periodic Maps and Degeneration of Riemann Surfaces
Statement of responsibility
by Yukio Matsumoto, José María Montesinos-Amilibia
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Matsumoto, Yukio
Dewey number
516.35
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • ET_MANzY6b4
  • Rk6vucYFg48
Image bit depth
0
Language note
English
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Montesinos-Amilibia, José María.
Series statement
Lecture Notes in Mathematics,
Series volume
2030
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Cell aggregation
  • Algebraic Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
Pseudo-periodic Maps and Degeneration of Riemann Surfaces, by Yukio Matsumoto, José María Montesinos-Amilibia, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (XVI, 240 p. 55 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642225345
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-22534-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3440000000000121
  • (SSID)ssj0000610655
  • (PQKBManifestationID)11423414
  • (PQKBTitleCode)TC0000610655
  • (PQKBWorkID)10638074
  • (PQKB)10919318
  • (DE-He213)978-3-642-22534-5
  • (MiAaPQ)EBC3067169
  • (EXLCZ)993440000000000121
Label
Pseudo-periodic Maps and Degeneration of Riemann Surfaces, by Yukio Matsumoto, José María Montesinos-Amilibia, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (XVI, 240 p. 55 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642225345
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-22534-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3440000000000121
  • (SSID)ssj0000610655
  • (PQKBManifestationID)11423414
  • (PQKBTitleCode)TC0000610655
  • (PQKBWorkID)10638074
  • (PQKB)10919318
  • (DE-He213)978-3-642-22534-5
  • (MiAaPQ)EBC3067169
  • (EXLCZ)993440000000000121

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