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Mixed Hodge Structures (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) (Ergebnisse der Mathematik ... / A Series of Modern Surveys in Mathematics) [Hardcover]

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Item description for Mixed Hodge Structures (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) (Ergebnisse der Mathematik ... / A Series of Modern Surveys in Mathematics) by Chris A.M. Peters...

This is the first comprehensive basic monograph on mixed Hodge structures. Starting with a summary of classic Hodge theory from a modern vantage point the book goes on to explain Deligne's mixed Hodge theory. Here proofs are given using cubical schemes rather than simplicial schemes. Next come Hain's and Morgan's results on mixed Hodge structures related to homotopy theory. Steenbrink's approach of the limit mixed Hodge structure is then explained using the language of nearby and vanishing cycle functors bridging the passage to Saito's theory of mixed Hodge modules which is the subject of the last chapter. Since here D-modules are essential, these are briefly introduced in a previous chapter. At various stages applications are given, ranging from the Hodge conjecture to singularities. The book ends with three large appendices, each one in itself a resourceful summary of tools and results not easily found in one place in the existing literature (homological algebra, algebraic and differential topology, stratified spaces and singularities). The book is intended for advanced graduate students, researchers in complex algebraic geometry as well as interested researchers in nearby fields (algebraic geometry, mathematical physics





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Item Specifications...


Pages   470
Est. Packaging Dimensions:   Length: 9.37" Width: 6.38" Height: 1.1"
Weight:   2.2 lbs.
Binding  Hardcover
Release Date   Apr 7, 2008
Publisher   Springer
ISBN  3540770151  
ISBN13  9783540770152  


Availability  107 units.
Availability accurate as of Jan 19, 2017 02:12.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Topology
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > Applied > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
8Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
9Books > Subjects > Science > Mathematics > Geometry & Topology > Topology



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