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Mixed twistor d-modules / Takuro Mochizuki.

By: Material type: TextTextSeries: Lecture notes in mathematics ; 2125Publication details: Switzerland : Springer, 2015.Description: xx, 487 p. ; 24 cmISBN:
  • 9783319100876 (alk. paper)
Subject(s): DDC classification:
  • 516.36 23 M688
Contents:
1. Introduction -- 2. Preliminary -- 3. Canonical prolongations -- 4. Gluing and specialization of r-triples -- 5. Gluing of good-KMS r-triples -- 6. Preliminary for relative monodromy filtrations -- 7. Mixed twistor D-modules -- 8. Infinitesimal mixed twistor modules -- 9. Admissible mixed twistor structure and variants -- 10. Good mixed twistor D-modules -- 11. Some basic property -- 12. d-Triples and their functoriality-- 13. Dual and real structure of mixed twistor D-modules -- 14. Algebraic mixed twistor D-modules and their derived categoruy -- 15. Good systems of ramified irregular values-- References-- Index.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.36 M688 (Browse shelf(Opens below)) Available 136439
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Preliminary --
3. Canonical prolongations --
4. Gluing and specialization of r-triples --
5. Gluing of good-KMS r-triples --
6. Preliminary for relative monodromy filtrations --
7. Mixed twistor D-modules --
8. Infinitesimal mixed twistor modules --
9. Admissible mixed twistor structure and variants --
10. Good mixed twistor D-modules --
11. Some basic property --
12. d-Triples and their functoriality--
13. Dual and real structure of mixed twistor D-modules --
14. Algebraic mixed twistor D-modules and their derived categoruy --
15. Good systems of ramified irregular values--
References--
Index.

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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