On strong vanishing property and plurigenera ofisolated singularities

Huaiqing Zuo Tsinghua University


Journal of Algebra, 529, 124–144, 2019
We introduce a new concept of strong vanishing property and investigate this property for minimally elliptic singularities. Acomparison theorem about strong vanishing property is also obtained. We use Zariski decomposition to give a formula of plurigenera for Gorenstein singularities and use it to test whether a divisor is f-nef.
Strong vanishing property Plurigenera Isolated singularities
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  title={On strong vanishing property and plurigenera ofisolated singularities},
  author={Huaiqing Zuo},
  booktitle={Journal of Algebra},
Huaiqing Zuo. On strong vanishing property and plurigenera ofisolated singularities. 2019. Vol. 529. In Journal of Algebra. pp.124–144. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190626024600638246363.
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