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Existence of the Shafarevich morphism for semisimple local systems on quasi-projective varieties
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
hal.structure.identifier | Centre National de la Recherche Scientifique [CNRS] | |
dc.contributor.author | BRUNEBARBE, Yohan | |
dc.date.accessioned | 2024-04-04T02:32:25Z | |
dc.date.available | 2024-04-04T02:32:25Z | |
dc.date.issued | 2023-05-16 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190383 | |
dc.description.abstractEn | Let X be a normal connected complex algebraic variety equipped with a semisimple complex representation of its fundamental group. Then, under a maximality assumption, we prove that the covering space of X associated to the kernel of the representation has a proper surjective holomorphic map with connected fibres onto a normal analytic space with no positive-dimensional compact analytic subspace. | |
dc.language.iso | en | |
dc.title.en | Existence of the Shafarevich morphism for semisimple local systems on quasi-projective varieties | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math] | |
dc.identifier.arxiv | 2305.09741 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-04301927 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-04301927v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-05-16&rft.au=BRUNEBARBE,%20Yohan&rft.genre=preprint |
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