Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Algebraic Fiber Space Whose Generic Fiber and Base Space Are of Almost General Type

  • Received : 2011.11.29
  • Accepted : 2012.10.12
  • Published : 2014.06.23
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Abstract

We assume that the existence and termination conjecture for flips holds. A complex projective manifold is said to be of almost general type if the intersection number of the canonical divisor with every very general curve is strictly positive. Let f be an algebraic fiber space from X to Y. Then the manifold X is of almost general type if every very general fiber F and the base space Y of f are of almost general type.

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References

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