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On the cone of divisors of Calabi-Yau fiber spaces

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arxiv alg-geom/9701006 v1 pith:VNESBHVE submitted 1997-01-13 alg-geom math.AG

On the cone of divisors of Calabi-Yau fiber spaces

classification alg-geom math.AG
keywords calabi-yauconedivisorsfiberspacesbaseconjecturedimensional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove some version of Morrison's conjecture on the cone of divisors for Calabi-Yau fiber spaces with non-trivial base pace whose total space is 3-dimensional.

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    Non-fibered Calabi-Yau threefolds in toric hypersurface and CICY classes connect to fibered Calabi-Yau threefolds via single-divisor shrinking transitions.