Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules. Part 2 /
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Providence, R.I. :
American Mathematical Society,
2007.
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Colección: | Memoirs of the American Mathematical Society ;
no. 870. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Acknowledgement""; ""Chapter 1. Introduction""; ""1.1. Simpson's Meta-Theorem""; ""1.2. The purposes in this paper""; ""1.3. On the purpose (1)""; ""1.4. On the purpose (2)""; ""1.5. Some Remark""; ""1.6. The outline of the paper""; ""Part 1. Preliminary""; ""Chapter 2. Preliminary""; ""2.1. Notation""; ""2.2. Prolongation by an increasing order""; ""2.3. Preliminary for Î?c-equivariant bundle""; ""2.4. Some elementary preliminary for convexity""; ""2.5. Some lemmas for functions on a disc""; ""2.6. An elementary remark on some distributions""
- 2.7. Preliminary from elementary linear algebra2.8. Preliminary from complex differential geometry
- 2.9. Preliminary from functional analysis
- 2.10. An estimate of the norms of Higgs field and the conjugate
- 2.11. Convergency of the sequence of harmonic bundles
- 2.12. Higgs field and twisted map
- Chapter 3. Preliminary for Mixed Twistor Structure
- 3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]
- 3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]
- 3.3. Tate objects and O(p, q)
- 3.4. Equivalence of some categories
- 3.5. Variation of P[sup(1)]-holomorphic bundles3.6. The twistor nilpotent orbit
- 3.7. Split polarized mixed twistor structure and the nilpotent orbit
- 3.8. The induced tuple on the divisor
- 3.9. Translation of some results due to Kashiwara, Kawai and Saito
- 3.10. R-triple in dimension 0 and twistor structure
- Chapter 4. Preliminary for Filtrations
- 4.1. Filtrations and decompositions on a vector space
- 4.2. Filtrations and decompositions on a vector bundle
- 4.3. Compatibility of the filtrations and nilpotent maps
- 4.4. Extension of splittings
- 4.5. Compatibility of the filtrations and nilpotent maps on the divisorsChapter 5. Some Lemmas for Generically Splitted Case
- 5.1. Filtrations
- 5.2. Compatibility of morphisms and filtrations
- Chapter 6. Model Bundles
- 6.1. Basic example I
- 6.2. Basic example II
- Part 2. Prolongation of Deformed Holomorphic Bundles
- Chapter 7. Harmonic Bundles on a Punctured Disc
- 7.1. Simpson's main estimate
- 7.2. The KMS-structure of tame harmonic bundles on a punctured disc
- 7.3. Basic comparison due to Simpson
- 7.4. Multi-valued flat sections
- ""7.5. The case where λ is generic""""7.6. Family of multi-valued sections""; ""7.7. Asymptotic orthogonality""; ""7.8. Maximum principle for the distance of the harmonic metrics""; ""Chapter 8. Harmonic Bundles on a Product of Punctured Discs""; ""8.1. Preliminary""; ""8.2. Simpson's Main estimate in the higher dimensional case""; ""8.3. Prolongation in the case that λ is generic""; ""8.4. Extension of holomorphic sections on a hyper plane""; ""8.5. Preliminary prolongation of ελ (Special case)""; ""8.6. Prolongation of ελ and the compatibility of the parabolic filtrations""