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[null,"1.","Record Nr.",null,"UNINA9910788743603321"]
[null,null,"Autore",null,"Mochizuki Takuro <1972->"]
[null,null,"Titolo",null,"Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2007]"]
[{"$nulls":4},"©2007"]
[null,null,"ISBN",null,"1-4704-0473-7"]
[null,null,"Descrizione fisica",null,"1 online resource (344 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 869"]
[null,null,"Disciplina",null,"514.74"]
[null,null,"Soggetti",null,"Hodge theory"]
[{"$nulls":4},"D-modules"]
[{"$nulls":4},"Vector bundles"]
[{"$nulls":4},"Harmonic maps"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"2.7. Preliminary from elementary linear algebra\"\"\"\"2.8. Preliminary from complex differential geometry\"\"; \"\"2.9. Preliminary from functional analysis\"\"; \"\"2.10. An estimate of the norms of Higgs field and the conjugate\"\"; \"\"2.11. Convergency of the sequence of harmonic bundles\"\"; \"\"2.12. Higgs field and twisted map\"\"; \"\"Chapter 3. Preliminary for Mixed Twistor Structure\"\"; \"\"3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]\"\"; \"\"3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]\"\"; \"\"3.3. Tate objects and O(p,q)\"\"; \"\"3.4. Equivalence of some categories\"\""]
[{"$nulls":4},"\"\"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. "]
[{"$nulls":4},"Translation of some results due to Kashiwara, Kawai and Saito\"\"; \"\"3.10. R-triple in dimension 0 and twistor structure\"\"; \"\"Chapter 4. Preliminary for Filtrations\"\"; \"\"4.1. Filtrations and decompositions on a vector space\"\"; \"\"4.2. Filtrations and decompositions on a vector bundle\"\"; \"\"4.3. Compatibility of the filtrations and nilpotent maps\"\"; \"\"4.4. Extension of splittings\"\""]
[{"$nulls":4},"\"\"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\"\""]