Looking for rational curves on cubic hypersurfaces

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These are the substantially expanded notes of the lectures of JK at the summer school "Higher-Dimensional Geometry over Finite Fields" in Göttingen, June 2007. The first part gives an overview of the methods. The main new result is the construction of rational curves passing through a given collection of points on smooth cubic hypersurfaces over finite fields.

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Algebraic Geometry, Number Theory, 14G05, 14G15, 11D25, 14M20 (Primary); 14G20, 11G25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/141061

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.5516
 http://arxiv.org/abs/0710.5516

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arXiv