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arXiv:0710.5516 [math.AG]AbstractReferencesReviewsResources

Looking for rational curves on cubic hypersurfaces

János Kollár, Ulrich Derenthal

Published 2007-10-29Version 1

These are the substantially expanded notes of the lectures of JK at the summer school "Higher-Dimensional Geometry over Finite Fields" in G\"ottingen, 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.

Categories: math.AG, math.NT
Subjects: 14G05, 14G15, 11D25, 14M20, 14G20, 11G25
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