Differentiability of volumes of divisors and a problem of Teissier
| dc.creator | Boucksom, Sebastien | |
| dc.creator | Favre, Charles | |
| dc.creator | Jonsson, Mattias | |
| dc.date | 2006-08-10 | |
| dc.date | 2007-09-04 | |
| dc.date.accessioned | 2026-07-07T08:27:20Z | |
| dc.date.available | 2026-07-07T08:27:20Z | |
| dc.description | We give an algebraic construction of the positive products of pseudo-effective classes first introduced by Boucksom, Demailly, Paun and Peternell, and use them to prove that the volume function on the Neron-Severi space of a projective variety is (once) differentiable. The differential is expressed as a positive product; we also relate it to the restricted volumes introduced by Ein et al and by Takayama. Then we apply our differentiability result to prove an algebro-geometric version of the Diskant inequality in convex geometry, allowing us to characterize the equality case of the Khovanskii-Teissier inequalities for nef and big classes. | |
| dc.description | 28 pages. Final version. To appear in J. Alg. Geom | |
| dc.identifier | https://arxiv.org/abs/math/0608260 | |
| dc.identifier | http://arxiv.org/abs/math/0608260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137240 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20 (Primary); 14E05, 52A40 (Secondary) | |
| dc.title | Differentiability of volumes of divisors and a problem of Teissier | |
| dc.type | text |