Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers
Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers
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DOI：
10.1090/jag/698
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发表时间：
2015-08
期刊：
影响因子：
--
通讯作者：
Sho Ejiri
中科院分区：
文献类型：
--
作者：
Sho Ejiri
本文证明了几何型光纤$F$的正则环有限生成且$F$的Frobenius稳定正则环足够大时，正特征的弱正性定理。作为它的应用，我们在一些新的情况下证明了Kodaira维的子可加性。
In this paper, we prove the weak positivity theorem in positive characteristic when the canonical ring of the geometric generic fiber $F$ is finitely generated and the Frobenius stable canonical ring of $F$ is large enough. As its application, we show the subadditivity of Kodaira dimensions in some new cases.