Mixed hodge structures /
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Author / Creator: | Peters, C. (Chris) |
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Imprint: | Berlin : Springer, c2008. |
Description: | 1 online resource (xiii, 470 p.) : ill. |
Language: | English |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete = Series of modern surveys in mathematics ; 3. Folge, Bd. 52 Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 52. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8885415 |
Other authors / contributors: | Steenbrink, J. H. M. |
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ISBN: | 9783540770176 3540770178 |
Notes: | Includes bibliographical references (p. [445]-456) and indexes. Description based on print version record. |
Summary: | 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 |
Other form: | Print version: Peters, C. (Chris). Mixed hodge structures. Berlin : Springer, c2008 3540770151 9783540770152 |
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