Inflectional loci of scrolls

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Let $X\subset \mathbb P^N$ be a scroll over a smooth curve $C$ and let $Ł=\mathcal O_{\mathbb P^N}(1)|_X$ denote the hyperplane bundle. The special geometry of $X$ implies that some sheaves related to the principal part bundles of $Ł$ are locally free. The inflectional loci of $X$ can be expressed in terms of these sheaves, leading to explicit formulas for the cohomology classes of the loci. The formulas imply that the only uninflected scrolls are the balanced rational normal scrolls.
9 pages, improved version. Accepted in Mathematische Zeitschrift

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Algebraic Geometry, Differential Geometry, 14J26, 14N05, 14C17

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http://salesiana.dossiersoluciones.com/handle/123456789/126464

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612403
 http://arxiv.org/abs/math/0612403

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arXiv