Mixed Hodge Structures

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...

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Detaylı Bibliyografya
Asıl Yazarlar: Peters, Chris, 1949-...., mathématicien, Steenbrink, Joseph Henri Maria, 1947- (Yazar), Steenbrink, Joseph HM (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edisyon:1st ed. 2008.
Seri Bilgileri:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 52
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Not: L'impression du document génère 466 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Mixed Hodge structures, Chris A. M. Peters, Joseph H. M. Steenbrink, Berlin, Springer, 2008, 1 vol. (XIII-470 p.), Ergebnisse der Mathematik und ihrer Grenzgebiete, 3-540-77015-1
• Mixed Hodge Structures, Texte imprimé, 9783540846277
• Mixed Hodge Structures, Texte imprimé, 9783642095740
• Mixed Hodge structures, Chris A. M. Peters, Joseph H. M. Steenbrink, Berlin, Springer, 2008, 1 vol. (XIII-470 p.), Ergebnisse der Mathematik und ihrer Grenzgebiete, 3-540-77015-1
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100 1 |a Peters, Chris,  |d 1949-....,  |c mathématicien. 
245 1 0 |a Mixed Hodge Structures   |c Chris A.M. Peters, Joseph H.M. Steenbrink. 
250 |a 1st ed. 2008. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics  |v 52  |x 2197-5655 
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504 |a Bibliogr. Index 
505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Théorie de Hodge 
650 |a Groupes cohomologiques 
700 1 |a Steenbrink, Joseph Henri Maria,  |d 1947-  |4 aut 
700 1 |a Steenbrink, Joseph HM.  |4 aut 
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