The Resource Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris, by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, (electronic resource)

Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris, by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, (electronic resource)

Label
Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris
Title
Geometry of Algebraic Curves
Title remainder
Volume II with a contribution by Joseph Daniel Harris
Statement of responsibility
by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series
Member of
Is Subseries of
http://library.link/vocab/creatorName
Arbarello, Enrico
Dewey number
512/.33
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • dds8DA8mHqs
  • etXMKjXrsHA
  • iwpKvJvW9FM
Language note
English
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Cornalba, Maurizio.
  • Griffiths, Phillip.
Series statement
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
Series volume
268
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Differential equations, partial
  • Functions of complex variables
  • Cell aggregation
  • Combinatorics
  • Algebraic Geometry
  • Several Complex Variables and Analytic Spaces
  • Functions of a Complex Variable
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Combinatorics
  • Theoretical, Mathematical and Computational Physics
Label
Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris, by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Guide to the Reader -- Chapter IX. The Hilbert Scheme -- Chapter X. Nodal curves -- Chapter XI. Elementary deformation theory and some applications -- Chapter XII. The moduli space of stable curves -- Chapter XIII. Line bundles on moduli -- Chapter XIV. The projectivity of the moduli space of stable curves -- Chapter XV. The Teichmüller point of view -- Chapter XVI. Smooth Galois covers of moduli spaces -- Chapter XVII. Cycles on the moduli spaces of stable curves -- Chapter XVIII. Cellular decomposition of moduli spaces -- Chapter XIX. First consequences of the cellular decomposition -- Chapter XX. Intersection theory of tautological classes -- Chapter XXI. Brill-Noether theory on a moving curve -- Bibliography -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (982 p.)
Form of item
online
Isbn
9783540693925
Media category
computer
Media type code
c
Other control number
10.1007/978-3-540-69392-5
Specific material designation
remote
System control number
  • (CKB)2670000000076202
  • (EBL)3066520
  • (SSID)ssj0000508422
  • (PQKBManifestationID)11336127
  • (PQKBTitleCode)TC0000508422
  • (PQKBWorkID)10552192
  • (PQKB)11002202
  • (DE-He213)978-3-540-69392-5
  • (MiAaPQ)EBC3066520
  • (EXLCZ)992670000000076202
Label
Geometry of Algebraic Curves : Volume II with a contribution by Joseph Daniel Harris, by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Guide to the Reader -- Chapter IX. The Hilbert Scheme -- Chapter X. Nodal curves -- Chapter XI. Elementary deformation theory and some applications -- Chapter XII. The moduli space of stable curves -- Chapter XIII. Line bundles on moduli -- Chapter XIV. The projectivity of the moduli space of stable curves -- Chapter XV. The Teichmüller point of view -- Chapter XVI. Smooth Galois covers of moduli spaces -- Chapter XVII. Cycles on the moduli spaces of stable curves -- Chapter XVIII. Cellular decomposition of moduli spaces -- Chapter XIX. First consequences of the cellular decomposition -- Chapter XX. Intersection theory of tautological classes -- Chapter XXI. Brill-Noether theory on a moving curve -- Bibliography -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (982 p.)
Form of item
online
Isbn
9783540693925
Media category
computer
Media type code
c
Other control number
10.1007/978-3-540-69392-5
Specific material designation
remote
System control number
  • (CKB)2670000000076202
  • (EBL)3066520
  • (SSID)ssj0000508422
  • (PQKBManifestationID)11336127
  • (PQKBTitleCode)TC0000508422
  • (PQKBWorkID)10552192
  • (PQKB)11002202
  • (DE-He213)978-3-540-69392-5
  • (MiAaPQ)EBC3066520
  • (EXLCZ)992670000000076202

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