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arXiv · 0710.5516

Looking for rational curves on cubic hypersurfaces

János Kollár·Ulrich Derenthal
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Abstract

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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János Kollár, Ulrich Derenthal. 2007-10-29. Looking for rational curves on cubic hypersurfaces. https://arxiv.org/abs/0710.5516

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