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Wild harmonic bundles and wild pure twistor D-modules Takuro Mochizuki

By: Series: AsterisquePublication details: Paris : Societe Mathematique de France, 2011Description: x, 607 p. ; 24 cmISBN:
  • 978-2-85629-332-4
ISSN:
  • 0303-1179
Subject(s): DDC classification:
  • 516.353
LOC classification:
  • QA612.63
Contents:
1. Introduction -- 2. Good formal property of a meromorphic [varrho]-flat bundle -- 3. Stokes structure of a good [varrho]-meromorphic flat bundle -- 4. Full Stokes data and Riemann-Hilbert-Birkoff correspondence -- 5. L2-cohomology of filtered [lambda]-flat bundle on curves -- 6. Meromorphic variation of twistor structure -- 7. Prolongments [Rho][Epsilon][lambda] for unramifiedly good wild harmonic bundles -- 8. Some basic results in the curve case -- 9. Associated family of meromorphic [lambda]-flat bundles -- 10. Smooth divisor case -- 11. Prolongation and reduction of variations of polarized pure twistor structures -- 12. Prolongation as R-triple -- 13. Preliminaries -- 14. Construction of an initial metric and preliminary correspondence -- 15. Preliminaries for the resolution of turning points -- 16. Kobayashi-Hitchin correspondence and some applications -- 17. Wild pure twistor D-modules -- 18. The hard Lefschetz theorem -- 19. Correspondence -- 20. Preliminaries from analysis on multi-sectors -- 21. Acceptable bundles -- 22. Review on R-modules, R-triples and variants.
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eng

Bibliografie p. 595
Index p. 603

1. Introduction -- 2. Good formal property of a meromorphic [varrho]-flat bundle -- 3. Stokes structure of a good [varrho]-meromorphic flat bundle -- 4. Full Stokes data and Riemann-Hilbert-Birkoff correspondence -- 5. L2-cohomology of filtered [lambda]-flat bundle on curves -- 6. Meromorphic variation of twistor structure -- 7. Prolongments [Rho][Epsilon][lambda] for unramifiedly good wild harmonic bundles -- 8. Some basic results in the curve case -- 9. Associated family of meromorphic [lambda]-flat bundles -- 10. Smooth divisor case -- 11. Prolongation and reduction of variations of polarized pure twistor structures -- 12. Prolongation as R-triple -- 13. Preliminaries -- 14. Construction of an initial metric and preliminary correspondence -- 15. Preliminaries for the resolution of turning points -- 16. Kobayashi-Hitchin correspondence and some applications -- 17. Wild pure twistor D-modules -- 18. The hard Lefschetz theorem -- 19. Correspondence -- 20. Preliminaries from analysis on multi-sectors -- 21. Acceptable bundles -- 22. Review on R-modules, R-triples and variants.

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