HOLOMORPHIC LINE BUNDLES OVER DOMAINS IN COUSIN GROUPS AND THE ALGEBRAIC DIMENSION OF OT-MANIFOLDS. - ANR - Agence nationale de la recherche Accéder directement au contenu
Article Dans Une Revue Proceedings of the Edinburgh Mathematical Society. Series II Année : 2015

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.
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hal-01066300 , version 1 (22-09-2014)

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Laurent Battisti, Karl Oeljeklaus. HOLOMORPHIC LINE BUNDLES OVER DOMAINS IN COUSIN GROUPS AND THE ALGEBRAIC DIMENSION OF OT-MANIFOLDS.. Proceedings of the Edinburgh Mathematical Society. Series II, 2015, Proceedings of the Edinburgh Mathematical Society (Series 2), 58 (02), pp.273-285. ⟨10.1017/S0013091514000327⟩. ⟨hal-01066300⟩
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