On the multiplicity of terminal singularities on threefolds

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We give the multiplicity of terminal singularities on threefolds by simple calculation. Then we obtain the best inequalities for the multiplicity and the index. By using this, we can improve the boundedness number of terminal weak Q-Fano 3-folds in [KMMT, Theorem 1.2]. Furthermore, we can extended [K, Theorem 3.6] for Fujita freeness conditions to nonhypersurface terminal singularities.
8 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/59033

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004105
 http://arxiv.org/abs/math/0004105

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arXiv