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Numerical criteria for certain fiber spaces to be birationally trivial

Published online by Cambridge University Press:  22 January 2016

Jin-Xing Cai*
Affiliation:
School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China, cai@math.pku.edu.cn
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Abstract

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Let f: X → B be a fiber space over a curve B whose general fiber F belongs to one of the following type: 1) F is of general type and satisfying some mild conditions, 2) F is with trivial canonical sheaf. In this note, a numerical characterization for f: X → B to be birationally trivial is given.

Keywords

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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