The Resource Mixed Hodge Structures, by Chris A.M. Peters, Joseph H. M. Steenbrink, (electronic resource)

Mixed Hodge Structures, by Chris A.M. Peters, Joseph H. M. Steenbrink, (electronic resource)

Label
Mixed Hodge Structures
Title
Mixed Hodge Structures
Statement of responsibility
by Chris A.M. Peters, Joseph H. M. Steenbrink
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
The text of this book has its origins more than twenty- ve years ago. In the seminar of the Dutch Singularity Theory project in 1982 and 1983, the second-named author gave a series of lectures on Mixed Hodge Structures and Singularities, accompanied by a set of hand-written notes. The publication of these notes was prevented by a revolution in the subject due to Morihiko Saito: the introduction of the theory of Mixed Hodge Modules around 1985. Understanding this theory was at the same time of great importance and very hard, due to the fact that it uni es many di erent theories which are quite complicated themselves: algebraic D-modules and perverse sheaves. The present book intends to provide a comprehensive text about Mixed Hodge Theory with a view towards Mixed Hodge Modules. The approach to Hodge theory for singular spaces is due to Navarro and his collaborators, whose results provide stronger vanishing results than Deligne’s original theory. Navarro and Guill en also lled a gap in the proof that the weight ltration on the nearby cohomology is the right one. In that sense the present book corrects and completes the second-named author’s thesis
Member of
Is Subseries of
http://library.link/vocab/creatorName
Peters, Chris A.M
Dewey number
514.74
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • DM1WFaGbwpo
  • UnyncbjpRhY
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Steenbrink, Joseph H. M.
Series statement
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
Series volume
52
http://library.link/vocab/subjectName
  • Algebra
  • Geometry, algebraic
  • Global differential geometry
  • Topology
  • Mathematical physics
  • Algebra
  • Algebraic Geometry
  • Differential Geometry
  • Topology
  • Mathematical Methods in Physics
Label
Mixed Hodge Structures, by Chris A.M. Peters, Joseph H. M. Steenbrink, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Basic Hodge Theory -- Compact Kähler Manifolds -- Pure Hodge Structures -- Abstract Aspects of Mixed Hodge Structures -- Mixed Hodge Structures on Cohomology Groups -- Smooth Varieties -- Singular Varieties -- Singular Varieties: Complementary Results -- Applications to Algebraic Cycles and to Singularities -- Mixed Hodge Structures on Homotopy Groups -- Hodge Theory and Iterated Integrals -- Hodge Theory and Minimal Models -- Hodge Structures and Local Systems -- Variations of Hodge Structure -- Degenerations of Hodge Structures -- Applications of Asymptotic Hodge Theory -- Perverse Sheaves and D-Modules -- Mixed Hodge Modules
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (478 p.)
Form of item
online
Isbn
9783540770176
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-77017-6
Specific material designation
remote
System control number
  • (CKB)1000000000407684
  • (EBL)338318
  • (OCoLC)233973725
  • (SSID)ssj0000303355
  • (PQKBManifestationID)11249192
  • (PQKBTitleCode)TC0000303355
  • (PQKBWorkID)10275702
  • (PQKB)11006055
  • (SSID)ssj0000772004
  • (PQKBManifestationID)12277019
  • (PQKBTitleCode)TC0000772004
  • (PQKBWorkID)10815172
  • (PQKB)11627334
  • (DE-He213)978-3-540-77017-6
  • (MiAaPQ)EBC338318
  • (EXLCZ)991000000000407684
Label
Mixed Hodge Structures, by Chris A.M. Peters, Joseph H. M. Steenbrink, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Basic Hodge Theory -- Compact Kähler Manifolds -- Pure Hodge Structures -- Abstract Aspects of Mixed Hodge Structures -- Mixed Hodge Structures on Cohomology Groups -- Smooth Varieties -- Singular Varieties -- Singular Varieties: Complementary Results -- Applications to Algebraic Cycles and to Singularities -- Mixed Hodge Structures on Homotopy Groups -- Hodge Theory and Iterated Integrals -- Hodge Theory and Minimal Models -- Hodge Structures and Local Systems -- Variations of Hodge Structure -- Degenerations of Hodge Structures -- Applications of Asymptotic Hodge Theory -- Perverse Sheaves and D-Modules -- Mixed Hodge Modules
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (478 p.)
Form of item
online
Isbn
9783540770176
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-77017-6
Specific material designation
remote
System control number
  • (CKB)1000000000407684
  • (EBL)338318
  • (OCoLC)233973725
  • (SSID)ssj0000303355
  • (PQKBManifestationID)11249192
  • (PQKBTitleCode)TC0000303355
  • (PQKBWorkID)10275702
  • (PQKB)11006055
  • (SSID)ssj0000772004
  • (PQKBManifestationID)12277019
  • (PQKBTitleCode)TC0000772004
  • (PQKBWorkID)10815172
  • (PQKB)11627334
  • (DE-He213)978-3-540-77017-6
  • (MiAaPQ)EBC338318
  • (EXLCZ)991000000000407684

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