Euler characteristic of primitive T-hypersurfaces and maximal surfaces
| dc.creator | Bertrand, Benoit | |
| dc.date | 2006-02-23 | |
| dc.date | 2007-10-15 | |
| dc.date.accessioned | 2026-07-07T08:36:05Z | |
| dc.date.available | 2026-07-07T08:36:05Z | |
| dc.description | Viro method plays an important role in the study of topology of real algebraic hypersurfaces. The T-primitive hypersurfaces we study here appear as the result of Viro's combinatorial patchworking when one starts with a primitive triangulation. We show that the Euler characteristic of the real part of such a hypersurface of even dimension is equal to the signature of its complex part. We use this result to prove the existence of maximal surfaces in some three-dimensional toric varieties, namely those corresponding Nakajima polytopes. In fact, these results belong to the field of tropical geometry and we explain how they can be understood tropically. | |
| dc.description | 26 pages, 11 figures, one reference added, notation changed | |
| dc.identifier | https://arxiv.org/abs/math/0602534 | |
| dc.identifier | http://arxiv.org/abs/math/0602534 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139951 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14P25 | |
| dc.title | Euler characteristic of primitive T-hypersurfaces and maximal surfaces | |
| dc.type | text |