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.

arXiv comment19 pages; this article replaces arXiv:1502.05028

References in corpus (2)

• Persistent homology and Floer-Novikov theory
• Spaces of rational curves in complete intersections

Cited by in corpus (5)

• 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
• Quadratic forms and systems of forms in many variables