LEADER 04076nam 2200565 450 001 9910480401303321 005 20180613001308.0 010 $a1-4704-0473-7 035 $a(CKB)3360000000465053 035 $a(EBL)3114135 035 $a(MiAaPQ)EBC3114135 035 $a(PPN)195417585 035 $a(EXLCZ)993360000000465053 100 $a20150410h20072007 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aAsymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules$hPart 1 /$fTakuro Mochizuki 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2007] 210 4$dİ2007 215 $a1 online resource (344 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 869 300 $aDescription based upon print version of record. 311 $a0-8218-3942-X 320 $aIncludes bibliographical references and index. 327 $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 I??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"" 327 $a""2.7. Preliminary from elementary linear algebra""""2.8. 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"" 327 $a""3.5. Variation of P[sup(1)]-holomorphic bundles""""3.6. 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"" 327 $a""4.5. Compatibility of the filtrations and nilpotent maps on the divisors""""Chapter 5. Some Lemmas for Generically Splitted Case""; ""5.1. Filtrations""; ""5.2. Compatibility of morphisms and filtrations""; ""Chapter 6. Model Bundles""; ""6.1. Basic example I""; ""6.2. Basic example II""; ""Part 2. Prolongation of Deformed Holomorphic Bundles""; ""Chapter 7. Harmonic Bundles on a Punctured Disc""; ""7.1. Simpson's main estimate""; ""7.2. The KMS-structure of tame harmonic bundles on a punctured disc""; ""7.3. Basic comparison due to Simpson""; ""7.4. Multi-valued flat sections"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 869. 606 $aHodge theory 606 $aD-modules 606 $aVector bundles 606 $aHarmonic maps 608 $aElectronic books. 615 0$aHodge theory. 615 0$aD-modules. 615 0$aVector bundles. 615 0$aHarmonic maps. 676 $a514.74 700 $aMochizuki$b Takuro$f1972-$0319920 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480401303321 996 $aAsymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules$92262707 997 $aUNINA