LEADER 04439nam 2200697 450 001 9910788743303321 005 20180731044628.0 010 $a1-4704-0474-5 035 $a(CKB)3360000000465054 035 $a(EBL)3114159 035 $a(SSID)ssj0000910366 035 $a(PQKBManifestationID)11500544 035 $a(PQKBTitleCode)TC0000910366 035 $a(PQKBWorkID)10932055 035 $a(PQKB)11132005 035 $a(SSID)ssj0001560527 035 $a(PQKBManifestationID)16193071 035 $a(PQKBTitleCode)TC0001560527 035 $a(PQKBWorkID)14825375 035 $a(PQKB)11265412 035 $a(MiAaPQ)EBC3114159 035 $a(RPAM)14559896 035 $a(PPN)195417593 035 $a(EXLCZ)993360000000465054 100 $a20150410h20072007 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAsymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules /$fTakuro Mochizuki 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2007] 210 4$d©2007 215 $a1 online resource (262 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 870 300 $aDescription based upon print version of record. 311 $a0-8218-3943-8 320 $aIncludes bibliographical references and index. 327 $a""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[A?°[sub(t)]]""; ""16.1. The filtration U[sup((I?»[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for I??[sub(t,u)]C[A?°[sub(t)]]""; ""Chapter 17. The Weight Filtration on I??[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((I?»[sub(0)]))] and the weight filtration"" 327 $a""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" 327 $a""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" 327 $a""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" 327 $a""24.1. Around smooth points of divisors"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 870. 606 $aHodge theory 606 $aD-modules 606 $aVector bundles 606 $aHarmonic maps 615 0$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 $a9910788743303321 996 $aAsymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules$93838134 997 $aUNINA