On the $8n^2$-inequality

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We give a complete proof of the so called $8n^2$-inequality, a local inequality for the self-intersection of a movable linear system at an isolated centre of a non canonical singularity. The inequality was suggested and several times published by I.Cheltsov but some of his arguments are faulty. We explain the mistake and replace the faulty piece by a correct argument.
LaTeX, 8 pages

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Algebraic Geometry, 14E05; 14E07; 14B05

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http://salesiana.dossiersoluciones.com/handle/123456789/173017

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.0183
 http://arxiv.org/abs/0811.0183

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arXiv