Rational curves on smooth hypersurfaces of low degree

Abstract

We study the family of rational curves on arbitrary smooth hypersurfaces of low degree using tools from analytic number theory.

19 pages; this article replaces arXiv:1502.05028

Cited by in corpus (4)

• Geometric Manin's Conjecture and rational curves
• Free rational curves on low degree hypersurfaces and the circle method
• Higher moments of arithmetic functions in short intervals: a geometric perspective
• On the Hasse principle for quartic hypersurfaces