Toroidal groups: line bundles, cohomology and quasi-Abelian varieties

Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They ar...

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Detalles Bibliográficos
Autores principales: Abe, Yukitaka, Kopfermann, Klaus
Lenguaje:eng
Publicado: Springer 2001
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/b80605
http://cds.cern.ch/record/1691398
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author Abe, Yukitaka
Kopfermann, Klaus
author_facet Abe, Yukitaka
Kopfermann, Klaus
author_sort Abe, Yukitaka
collection CERN
description Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.
id cern-1691398
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
publisher Springer
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spelling cern-16913982021-04-21T21:10:15Zdoi:10.1007/b80605http://cds.cern.ch/record/1691398engAbe, YukitakaKopfermann, KlausToroidal groups: line bundles, cohomology and quasi-Abelian varietiesMathematical Physics and MathematicsToroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.Springeroai:cds.cern.ch:16913982001
spellingShingle Mathematical Physics and Mathematics
Abe, Yukitaka
Kopfermann, Klaus
Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
title Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
title_full Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
title_fullStr Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
title_full_unstemmed Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
title_short Toroidal groups: line bundles, cohomology and quasi-Abelian varieties
title_sort toroidal groups: line bundles, cohomology and quasi-abelian varieties
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/b80605
http://cds.cern.ch/record/1691398
work_keys_str_mv AT abeyukitaka toroidalgroupslinebundlescohomologyandquasiabelianvarieties
AT kopfermannklaus toroidalgroupslinebundlescohomologyandquasiabelianvarieties

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