Is every toric variety an M-variety?
| dc.creator | Bihan, Frédéric | |
| dc.creator | Franz, Matthias | |
| dc.creator | McCrory, Clint | |
| dc.creator | van Hamel, Joost | |
| dc.date | 2005-10-11 | |
| dc.date.accessioned | 2026-07-07T08:23:14Z | |
| dc.date.available | 2026-07-07T08:23:14Z | |
| dc.description | A complex algebraic variety X defined over the real numbers is called an M-variety if the sum of its Betti numbers (for homology with closed supports and coefficients in Z/2) coincides with the corresponding sum for the real part of X. It has been known for a long time that any nonsingular complete toric variety is an M-variety. In this paper we consider whether this remains true for toric varieties that are singular or not complete, and we give a positive answer when the dimension of X is less than or equal to 3. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510228 | |
| dc.identifier | http://arxiv.org/abs/math/0510228 | |
| dc.identifier | Manuscripta Math. 120 (2006), 217-232 | |
| dc.identifier | doi:10.1007/s00229-006-0004-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135921 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14P25 (primary); 55M35, 55N91 (secondary) | |
| dc.title | Is every toric variety an M-variety? | |
| dc.type | text |