Non-vanishing theorem for generalized log canonical pairs with a polarization
نویسندگان
چکیده
We prove that the non-vanishing conjecture holds for generalized lc pairs with a polarization.
منابع مشابه
Non-vanishing Theorem for Log Canonical Pairs
We obtain a correct generalization of Shokurov’s nonvanishing theorem for log canonical pairs. It implies the base point free theorem for log canonical pairs. We also prove the rationality theorem for log canonical pairs. As a corollary, we obtain the cone theorem for log canonical pairs. We do not need Ambro’s theory of quasi-log varieties.
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ژورنال
عنوان ژورنال: Selecta Mathematica-new Series
سال: 2022
ISSN: ['1022-1824', '1420-9020']
DOI: https://doi.org/10.1007/s00029-022-00795-x