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The fundamental group of Kaehler manifolds
dc.contributor.author | Amorós Torrent, Jaume |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-10-04T16:21:05Z |
dc.date.available | 2007-10-04T16:21:05Z |
dc.date.issued | 1997 |
dc.identifier.uri | http://hdl.handle.net/2117/1229 |
dc.description.abstract | It studies the fundamental group of complex algebraic varieties, in its Betti, Hodge and de Rham realizations. This study has been carried out both in the absolute case, i.e. fundamental groups of such varieties, and in the relative case, where one studies the monodromy in the fundamental group and the associated Gauss-Manin connection. The three main lines of research have been: (i) The unipotent completion of Kaehler groups, by means of Sullivan's 1-minimal models and formality. (ii) The monodromy in the fundmental group in families of curves with ordinary quadratic singularities. (iii) The 1-minimal model of the Gauss-Manin connection in the cohomology of families of algebraic manifolds. |
dc.format.extent | 187 pages |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Homology theory |
dc.subject.lcsh | Analytic spaces |
dc.subject.lcsh | Differential geometry |
dc.subject.other | Kaehler group |
dc.subject.other | Malcev algebra |
dc.subject.other | Albanese map |
dc.subject.other | irrational pencil |
dc.subject.other | monodromy in the fundamental group |
dc.subject.other | Gauss-Manin connection |
dc.subject.other | 1-minimal model |
dc.subject.other | differential Galois group |
dc.title | The fundamental group of Kaehler manifolds |
dc.type | Article |
dc.subject.lemac | Homologia, Teoria d' |
dc.subject.lemac | Espais analítics |
dc.subject.lemac | Geometria diferencial |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14F (Co)homology theory |
dc.subject.ams | Classificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces |
dc.subject.ams | Classificació AMS::32 Several complex variables and analytic spaces::32J Compact analytic spaces |
dc.subject.ams | Classificació AMS::53 Differential geometry::53C Global differential geometry |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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