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  • © 2015

Mixed Twistor D-modules

Authors:

  • 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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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction

    • Takuro Mochizuki
    Pages 1-13
  3. Gluing and Specialization of $$\mathcal{R}$$ -Triples

    1. Front Matter

      Pages 15-15
  4. Gluing and Specialization of $$\mathcal{R}$$ -Triples

    1. Preliminary

      • Takuro Mochizuki
      Pages 17-47
    2. Canonical Prolongations

      • Takuro Mochizuki
      Pages 49-69
    3. Gluing of Good-KMS Smooth \(\mathcal{R}\)-Triples

      • Takuro Mochizuki
      Pages 103-139
  5. Mixed twistor $$\mathcal{D}$$ -Modules

    1. Front Matter

      Pages 141-141
  6. Mixed twistor $$\mathcal{D}$$ -Modules

    1. Preliminary for Relative Monodromy Filtrations

      • Takuro Mochizuki
      Pages 143-167
    2. Mixed Twistor \(\mathcal{D}\)-Modules

      • Takuro Mochizuki
      Pages 169-194
    3. Infinitesimal Mixed Twistor Modules

      • Takuro Mochizuki
      Pages 195-219
    4. Good Mixed Twistor \(\mathcal{D}\)-Modules

      • Takuro Mochizuki
      Pages 247-269
    5. Some Basic Property

      • Takuro Mochizuki
      Pages 271-296
    6. \(\mathcal{D}\)-Triples and Their Functoriality

      • Takuro Mochizuki
      Pages 297-369
    7. Good Systems of Ramified Irregular Values

      • Takuro Mochizuki
      Pages 465-477
  7. Back Matter

    Pages 479-490

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.

Authors and Affiliations

  • Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, Japan

    Takuro Mochizuki

Bibliographic Information

Buy it now

Buying options

eBook USD 29.99 USD 64.99
54% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99 USD 84.99
53% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access