Kobayashi-Hitchin correspondence for tame harmonic bundles and an application / Takuro Mochizuki

Auteur principal : Mochizuki, Takuro, 1972-, AuteurType de document : MonographieCollection : Astérisque, 309Langue : anglais.Pays: France.Éditeur : Paris : Société Mathématique de France, 2006Description : 1 vol. (VIII-117 p.) ; 24 cmISBN: 9782856292266.ISSN: 0303-1179.Bibliographie : Bibliogr. p. 113-117.Sujet MSC : 14J60, Algebraic geometry - Surfaces and higher-dimensional varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
53C07, Global differential geometry, Special connections and metrics on vector bundles
32S40, Several complex variables and analytic spaces - Complex singularities, Monodromy; relations with differential equations and D-modules
14D07, Families, fibrations in algebraic geometry, Variation of Hodge structures
53C43, Global differential geometry, Differential geometric aspects of harmonic maps
En-ligne : Résumé
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In a nutshell, the author proves a Kobayashi-Hitchin correspondence type result between tame harmonic bundles and polystable parabolic Higgs bundles with trivial Chern numbers, and gives some applications of this correspondence for fundamental groups of smooth quasiprojective varieties. This book is intended for specialists. (Zentralblatt)

Bibliogr. p. 113-117

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