Rational curves of degree 10 on a general quintic threefold
| dc.creator | Cotterill, Ethan | |
| dc.date | 2004-11-30 | |
| dc.date | 2004-12-16 | |
| dc.date.accessioned | 2026-07-07T05:14:50Z | |
| dc.date.available | 2026-07-07T05:14:50Z | |
| dc.description | We prove the "strong form" of the Clemens conjecture in degree 10. Namely, on a general quintic threefold F in P^4, there are only finitely many smooth rational curves of degree 10, and each curve is embedded in F with normal bundle O(-1)^2. Moreover, in degree 10, there are no singular, reduced, and irreducible rational curves, nor any reduced, reducible, and connected curves with rational components in F. | |
| dc.description | The justification of Fact 1 on p. 10 has been made clearer; minor formatting issues and typos corrected. To appear in Communications in Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0412002 | |
| dc.identifier | http://arxiv.org/abs/math/0412002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73431 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30; 13P10, 14H45 | |
| dc.title | Rational curves of degree 10 on a general quintic threefold | |
| dc.type | text |