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Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules. I

About this Title

Takuro Mochizuki

Publication: Memoirs of the American Mathematical Society
Publication Year: 2007; Volume 185, Number 869
ISBNs: 978-0-8218-3942-3 (print); 978-1-4704-0473-4 (online)
DOI: https://doi.org/10.1090/memo/0869
MathSciNet review: 2281877
MSC: Primary 32S40; Secondary 14C30, 53C07, 53C43

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Table of Contents

Chapters

  • 1. Introduction
  • Part 1. Preliminary
  • 2. Preliminary
  • 3. Preliminary for mixed twistor structure
  • 4. Preliminary for filtrations
  • 5. Some lemmas for generically splitted case
  • 6. Model bundles
  • Part 2. Prolongation of deformed holomorphic bundles
  • 7. Harmonic bundles on a punctured disc
  • 8. Harmonic bundles on a product of punctured discs
  • 9. The KMS-structure of the space of the multi-valued flat sections
  • 10. The induced regular $\lambda$-connection on $\Delta ^n \times C*$
  • Part 3. Limiting mixed twistor theorem and some consequence
  • 11. The induced vector bundle over $\mathbb {P}^1$
  • 12. Limiting mixed twistor theorem
  • 13. Norm estimate