Strong rational connectedness of toric varieties
| dc.creator | Chen, Yifei | |
| dc.creator | Shokurov, Vyacheslav | |
| dc.date | 2009-05-09 | |
| dc.date.accessioned | 2026-07-07T13:13:33Z | |
| dc.date.available | 2026-07-07T13:13:33Z | |
| dc.description | In this paper, we prove that: For any given finitely many distinct points $P_1,...,P_r$ and a closed subvariety $S$ of codimension $\geq 2$ in a complete toric variety over a uncountable (characteristic 0) algebraically closed field, there exists a rational curve $f:\mathbb{P}^1\to X$ passing through $P_1,...,P_r$, disjoint from $S\setminus \{P_1,...,P_r\}$ (see Main Theorem). As a corollary, we prove that the smooth loci of complete toric varieties are strongly rationally connected. | |
| dc.description | 14 pages, 4 figures. Ph.D thesis | |
| dc.identifier | https://arxiv.org/abs/0905.1430 | |
| dc.identifier | http://arxiv.org/abs/0905.1430 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229926 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J26, 14J45, 14M25 | |
| dc.title | Strong rational connectedness of toric varieties | |
| dc.type | text |