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Numerical properties of exceptional divisors of birational morphisms of smooth surfaces

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.

preprint2022arXivOpen access
Vicente LorenzoMargarida Mendes LopesRita Pardini
math.AG
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Open access3 authors1 topic
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Vicente LorenzoMargarida Mendes LopesRita Pardini

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