Remarks on the non-vanishing conjecture

Remarks on the non-vanishing conjecture
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DOI:
10.2969/aspm/06510107
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发表时间:
2012-01
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
Yoshinori Gongyo
Yoshinori Gongyo
中科院分区:
其他
文献类型:
--
作者:
Yoshinori Gongyo

文献摘要

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讨论了对数典型对的伪有效对数典型因子的有理猜想与真实的非零猜想之间的区别。在假设Shokurov的ACC拓扑下,我们还证明了有理连通簇的对数非零定理。
We discuss a difference between the rational and the real non-vanishing conjecture for pseudo-effective log canonical divisors of log canonical pairs. We also show the log non-vanishing theorem for rationally connected varieties under assuming Shokurov's ACC conjectures.