Mixed Hodge Structures

Name: Mixed Hodge Structures
Brand: Springer, Berlin
SKU: 9783642095740
Price: 53852 HUF
Availability: InStock

Szerző: Chris A.M. Peters, Joseph H. M. Steenbrink

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

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This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory...

Információk a könyvről

Szerző

Chris A.M. Peters, Joseph H. M. Steenbrink

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

470

EAN

9783642095740

ISBN

3642095747

Enbook ID

02108379

Kiadó

Springer, Berlin

Súly

736

Méretek

156 x 234 x 24

Teljes leírás

This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detailed fashion. Then both Hain's and Morgan's approaches to mixed Hodge theory related to homotopy theory are sketched. Next comes the relative theory, and then the all encompassing theory of mixed Hodge modules. The book is interlaced with chapters containing applications. Three large appendices complete the book.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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Mixed Hodge Structures

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