论文标题

光滑表面异常形态的特殊分裂的数值特性

Numerical properties of exceptional divisors of birational morphisms of smooth surfaces

论文作者

Lorenzo, Vicente, Lopes, Margarida Mendes, Pardini, Rita

论文摘要

我们对有效分隔线的数值特性进行了非常详细的分析,其支持包含在光滑的射射线表面的异常形态的特殊基因座中。作为一种应用,我们将Miyaoka的不等式扩展到具有非负Kodaira尺寸的投射正常表面上的规范奇异性数量到非最小情况,获得的结果比Megyesi和Langer的已知扩展略好。

We make a very detailed analysis of the numerical properties of effective divisors whose support is contained in the exceptional locus of a birational morphism of smooth projective surfaces. As an application we extend Miyaoka's inequality on the number of canonical singularities on a projective normal surface with non-negative Kodaira dimension to the non minimal case, obtaining a slightly better result than known extensions by Megyesi and Langer.

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