Quotients of Divisorial Toric Varieties
| dc.creator | A'Campo-Neuen, A. | |
| dc.creator | Hausen, J. | |
| dc.date | 2000-01-24 | |
| dc.date | 2002-02-26 | |
| dc.date.accessioned | 2026-07-07T04:33:25Z | |
| dc.date.available | 2026-07-07T04:33:25Z | |
| dc.description | We consider subtorus actions on divisorial toric varieties. Here divisoriality means that the variety has many Cartier divisors like quasiprojective and smooth ones. We characterize when a subtorus action on such a toric variety admits a categorical quotient in the category of divisorial varieties. Our result generalizes previous statements for the quasiprojective case. An important tool for the proof is a universal reduction of an arbitrary toric variety to a divisorial one. This is done in terms of support maps, a notion generalizing support functions on a polytopal fan. A further essential step is the decomposition of a given subtorus invariant regular map to a divisorial variety into an invariant toric part followed by a non-toric part. | |
| dc.description | 20 pages, LaTeX2e, 3 figures. Extended version including more examples. To appear in Michigan Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0001131 | |
| dc.identifier | http://arxiv.org/abs/math/0001131 | |
| dc.identifier | Michigan Math. J. 50, No 1., 101-123 (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58565 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L30; 14M25; 14C20 | |
| dc.title | Quotients of Divisorial Toric Varieties | |
| dc.type | text |