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'
Real mixed Hodge structures
โ Scribed by Kapranov, Mikhail
- Book ID
- 120237187
- Publisher
- European Mathematical Society
- Year
- 2012
- Tongue
- English
- Weight
- 235 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1661-6952
- DOI
- 10.4171/JNCG/93
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๐ SIMILAR VOLUMES
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
This book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying singularities by means of differential forms. Using the language of algebraic geometry, the author strikes a balance between the traditional approach to the subject, and the more abst