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

About this Title

Takuro Mochizuki

Publication: Memoirs of the American Mathematical Society
Publication Year: 2007; Volume 185, Number 870
ISBNs: 978-0-8218-3943-0 (print); 978-1-4704-0474-1 (online)
DOI: https://doi.org/10.1090/memo/0870
MathSciNet review: 2283665
MSC: Primary 32S40; Secondary 14C30, 53C07, 53C43

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Table of Contents

Chapters

  • Part 4. An application to the theory of pure twistor $D$-modules
  • Chapter 14. Pure twistor $D$-module
  • Chapter 15. Prolongation of $\mathcal {R}$-module $\mathcal {E}$
  • Chapter 16. The filtrations of $\mathfrak {C}[\eth _t]$
  • Chapter 17. The weight filtration on $\psi _{t,u} \mathfrak {C}$ and the induced $\mathcal {R}$-triple
  • Chapter 18. The sesqui-linear pairings
  • Chapter 19. Polarized pure twistor $D$-module and tame harmonic bundles
  • Chapter 20. The pure twistor $D$-modules on a smooth curve (Appendix)
  • Part 5. Characterization of semisimplicity by tame pure imaginary pluri-harmonic metric
  • Chapter 21. Preliminary
  • Chapter 22. Tame pure imaginary harmonic bundle
  • Chapter 23. The Dirichlet problem in the punctured disc case
  • Chapter 24. Control of the energy of twisted maps on a Kahler surface
  • Chapter 25. The existence of tame pure imaginary pluri-harmonic metric