Effective bounds on singular surfaces in positive characteristic

Effective bounds on singular surfaces in positive characteristic
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DOI:
10.1307/mmj/1491465684
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发表时间:
2015-10
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
J. Witaszek
J. Witaszek
中科院分区:
其他
文献类型:
--
作者:
J. Witaszek

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利用Frobenius奇点理论,我们证明了13mK_X + 45mA对于定义在特征p>5的代数闭域上的Gorenstein指数为m的Kawamata对数终端曲面X上的充足Cartier因子A是非常充足的.
Using the theory of Frobenius singularities, we show that 13mK_X + 45mA is very ample for an ample Cartier divisor A on a Kawamata log terminal surface X with Gorenstein index m, defined over an algebraically closed field of characteristic p>5.