HOLOMORPHIC LINE BUNDLES OVER DOMAINS IN COUSIN GROUPS AND THE ALGEBRAIC DIMENSION OF OT-MANIFOLDS.
Résumé
In this paper we extend results due to Vogt on line bun- dles over Cousin groups to the case of domains stable by the maximal compact subgroup. This is used in the sequel to show that the algebraic dimension of OT-manifolds is zero. In the last part we establish that certain Cousin groups, in particular those arising from the construction of OT-manifolds, have finite-dimensional irregularity.
Domaines
Variables complexes [math.CV]
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HOLOMORPHIC_LINE_BUNDLES_OVER_DOMAINS_IN_COUSIN_GROUPS_Battisti_Oeljeklaus.pdf (325.96 Ko)
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