A new method in Fano geometry

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dc.creatorRan, Ziv
dc.creatorClemens, Herb
dc.date2000-01-23
dc.date.accessioned2026-07-07T04:33:24Z
dc.date.available2026-07-07T04:33:24Z
dc.descriptionWe 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
dc.description16 pages LaTeX; to appear in Int. Math Research Notices
dc.identifierhttps://arxiv.org/abs/math/0001120
dc.identifierhttp://arxiv.org/abs/math/0001120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58558
dc.subjectAlgebraic Geometry
dc.subject14j45
dc.titleA new method in Fano geometry
dc.typetext

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