Abstract
We prove that there is no smooth irreducible reduced rational curve of degree $e$, $2 \le e \le 11$, on general hypersurfaces of degree $7$ in $\mathbb{P}^5$.
Citation
Dongsoo Shin. "Rational curves on general hypersurfaces of degree 7 in $\protect \mathbb {P}^5$." Osaka J. Math. 44 (1) 1 - 10, March 2007.
Information
Published: March 2007
First available in Project Euclid: 19 March 2007
zbMATH: 1120.14033
MathSciNet: MR2313025
Subjects:
Primary:
14N05
Secondary:
14N25
Rights: Copyright © 2007 Osaka University and Osaka City University, Departments of Mathematics