Abstract:
We show that if a smooth projective 4-fold M contains an ample divisor A which is P 1-bundle π :A→S over a smooth projective surface S, π is extended to a P 2-bundle π :S→S, unless $A$ is isomorphic to P 2×P 1.
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Received: 28 September 1998 / Revised version: 16 August 1999
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Sato, E., Yicai, Z. Smooth 4-folds which contain a P1-bundle¶as an ample divisor. manuscripta math. 101, 313–323 (2000). https://doi.org/10.1007/s002290050218
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DOI: https://doi.org/10.1007/s002290050218