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- W2951443693 abstract "We first introduce a weak type of Zariski decomposition in higher dimensions: an $R$-Cartier divisor has a weak Zariski decomposition if birationally and in a numerical sense it can be written as the sum of a nef and an effective $R$-Cartier divisor. We then prove that there is a very basic relation between Zariski decompositions and log minimal models which has long been expected: we prove that assuming the log minimal model program in dimension $d-1$, a lc pair $(X/Z,B)$ of dimension $d$ has a log minimal model if and only if $K_X+B$ has a weak Zariski decomposition$/Z$." @default.
- W2951443693 created "2019-06-27" @default.
- W2951443693 creator A5032259921 @default.
- W2951443693 date "2009-07-29" @default.
- W2951443693 modified "2023-09-27" @default.
- W2951443693 title "ON EXISTENCE OF LOG MINIMAL MODELS AND WEAK ZARISKI DECOMPOSITIONS" @default.
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