Overview
- The first book on mixed twistor D-modules
- Forms a tentative foundation of generalized Hodge theory of holonomic D-modules
- Represents one of the final goals in the study of mixed twistor structures
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2125)
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About this book
We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular.
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Table of contents (15 chapters)
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Front Matter
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Gluing and Specialization of $$\mathcal{R}$$ -Triples
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Front Matter
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Gluing and Specialization of $$\mathcal{R}$$ -Triples
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Mixed twistor $$\mathcal{D}$$ -Modules
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Front Matter
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Mixed twistor $$\mathcal{D}$$ -Modules
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Mixed Twistor D-modules
Authors: Takuro Mochizuki
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-10088-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-10087-6Published: 28 August 2015
eBook ISBN: 978-3-319-10088-3Published: 19 August 2015
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XX, 487
Topics: Several Complex Variables and Analytic Spaces, Algebraic Geometry