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20240329122006.0 |
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|z (OCoLC)922981714
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|b .M63 2007eb
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|a UAMI
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|a Mochizuki, Takuro,
|d 1972-
|1 https://id.oclc.org/worldcat/entity/E39PBJfRGpw4QPg9xbvCH6B9Dq
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|a Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules.
|n Part 2 /
|c Takuro Mochizuki.
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| 264 |
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1 |
|a Providence, R.I. :
|b American Mathematical Society,
|c 2007.
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| 300 |
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|a 1 online resource (565 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v number 870
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| 588 |
0 |
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|a Print version record.
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|a ""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""
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|a 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
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|a 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
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|a 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
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|a ""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""
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Hodge theory.
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| 650 |
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|a D-modules.
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| 650 |
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|a Vector bundles.
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| 650 |
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|a Harmonic maps.
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| 650 |
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|a Théorie de Hodge.
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| 650 |
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|a D-modules.
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| 650 |
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|a Fibrés vectoriels.
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| 650 |
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|a Applications harmoniques.
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| 650 |
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7 |
|a MATHEMATICS
|x Topology.
|2 bisacsh
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| 650 |
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7 |
|a D-modules
|2 fast
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| 650 |
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7 |
|a Harmonic maps
|2 fast
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| 650 |
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7 |
|a Hodge theory
|2 fast
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| 650 |
|
7 |
|a Vector bundles
|2 fast
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| 710 |
2 |
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|a American Mathematical Society.
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| 758 |
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|i has work:
|a Part 2 Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGtHbJq3P8HpDQW9JkYCHC
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Mochizuki, Takuro, 1972-
|t Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules. Part 2
|z 082183942X
|w (DLC) 2006047813
|w (OCoLC)813544969
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 870.
|x 0065-9266
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114135
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL3114135
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| 938 |
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|a EBSCOhost
|b EBSC
|n 843364
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| 994 |
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|a 92
|b IZTAP
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