A new method in Fano geometry

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We give some bounds on the anticanonical degrees of Fano varieties with Picard number 1 and mild singularities, extending results of Kollár et al. from the early 90's and improving them even in the smooth case. The proof is based on a study of positivity properties of sheaves of differential operators on ample line bundles, and avoids the use of rational curves and bend-and-break. This note is a self-contained exposition of the main ideas of math.AG/9811022
16 pages LaTeX; to appear in Int. Math Research Notices

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Algebraic Geometry, 14j45

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http://salesiana.dossiersoluciones.com/handle/123456789/58558

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001120
 http://arxiv.org/abs/math/0001120

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arXiv