Quasi--Projective Reduction of Toric Varieties
| dc.creator | A'Campo-Neuen, A. | |
| dc.creator | Hausen, J. | |
| dc.date | 1998-05-26 | |
| dc.date.accessioned | 2026-07-07T05:24:51Z | |
| dc.date.available | 2026-07-07T05:24:51Z | |
| dc.description | We define a quasi--projective reduction of a complex algebraic variety $X$ to be a regular map from $X$ to a quasi--projective variety that is universal with respect to regular maps from $X$ to quasi--projective varieties. A toric quasi--projective reduction is the analogous notion in the category of toric varieties. For a given toric variety $X$ we first construct a toric quasi--projective reduction. Then we show that $X$ has a quasi--projective reduction if and only if its toric quasi--projective reduction is surjective. We apply this result to characterize when the action of a subtorus on a quasi--projective toric variety admits a categorical quotient in the category of quasi--projective varieties. | |
| dc.description | 12 pages, 3 figures, LaTeX2e + Postscript | |
| dc.identifier | https://arxiv.org/abs/math/9805118 | |
| dc.identifier | http://arxiv.org/abs/math/9805118 | |
| dc.identifier | Math. Z. 233, 697-708 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76966 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25, 14L30, 14D25 | |
| dc.title | Quasi--Projective Reduction of Toric Varieties | |
| dc.type | text |