Dequantization of real algebraic geometry on logarithmic paper
| dc.creator | Viro, Oleg | |
| dc.date | 2000-05-16 | |
| dc.date | 2000-06-06 | |
| dc.date.accessioned | 2026-07-07T04:35:18Z | |
| dc.date.available | 2026-07-07T04:35:18Z | |
| dc.description | On logarithmic paper some real algebraic curves look like smoothed broken lines. Moreover, the broken lines can be obtained as limits of those curves. The corresponding deformation can be viewed as a quantization, in which the broken line is a classical object and the curves are quantum. This generalizes to a new connection between algebraic geometry and the geometry of polyhedra, which is more straight-forward than the other known connections and gives a new insight into constructions used in the topology of real algebraic varieties. | |
| dc.description | 12 pages, 3 figures, Plenary talk at the 3rd ECM, Barcelona, July 10-14, 2000. Sections 2.2, 3.3, 3.4 changed, 2.3 removed to correct consequences of a miscalculation, a reference updated | |
| dc.identifier | https://arxiv.org/abs/math/0005163 | |
| dc.identifier | http://arxiv.org/abs/math/0005163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59211 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14P25, 00A99 | |
| dc.title | Dequantization of real algebraic geometry on logarithmic paper | |
| dc.type | text |