Group Actions on S^6 and complex structures on P_3

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dc.creatorHuckleberry, Alan T.
dc.creatorKebekus, Stefan
dc.creatorPeternell, Thomas
dc.date1998-12-13
dc.date.accessioned2026-07-07T05:27:13Z
dc.date.available2026-07-07T05:27:13Z
dc.descriptionIt is proved that if S^6 possesses an integrable complex structure, then there exists a 1-dimensional family of pairwise different exotic complex structures on P_3(C). This follows immediately from the main result of the paper: S^6 is not the underlying differentiable manifold of an almost homogeneous complex manifold X. Via elementary Lie theoretic techniques this is reduced to ruling out the possibility of a C^*-action on a certain non-normal surface E in X. A contradiction is reached by analyzing combinatorial aspects of the non-normal locus N of E and its preimage in the normalization of E.
dc.identifierhttps://arxiv.org/abs/math/9812076
dc.identifierhttp://arxiv.org/abs/math/9812076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77840
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject53C15; 32C10; 32M12
dc.titleGroup Actions on S^6 and complex structures on P_3
dc.typetext

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