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Article Dans Une Revue Mathematische Zeitschrift Année : 2013

Uniformisation in dimension four: towards a conjecture of Iitaka

Andreas Hoering
Thomas Peternell
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Ivo Radloff
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Résumé

Let be a compact Kahler manifold whose universal cover is . A conjecture of Iitaka claims that some finite ,tale cover of is a torus. We prove this conjecture in various cases in dimension four. We also show that in the projective case Iitaka's conjecture is a consequence of the non-vanishing conjecture.

Dates et versions

hal-01294811 , version 1 (29-03-2016)

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Andreas Hoering, Thomas Peternell, Ivo Radloff. Uniformisation in dimension four: towards a conjecture of Iitaka. Mathematische Zeitschrift, 2013, 274 (1-2), pp.483-497. ⟨10.1007/s00209-012-1081-1⟩. ⟨hal-01294811⟩
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