Un théoréme de Nakai-Moishezon pour certaines classes de type (1,1)
| dc.creator | Eyssidieux, Philippe | |
| dc.date | 1998-11-10 | |
| dc.date.accessioned | 2026-07-07T05:26:48Z | |
| dc.date.available | 2026-07-07T05:26:48Z | |
| dc.description | Let $X$ be a smooth compact projective variety over $\mathbb C$. Let $H^2(π_1(X),\mathbb R)^{1,1}$ be the intersection of $H^{1,1}(X,{\mathbb R})$ with the image of the map $H^2(π_1(X),{\mathbb R})\to H^2(X)$ induced by the classifying map $X\to Bπ_1(X)$. Let $NS(X)$ be the Néron-Severi group of $X$. Let $[ω]\in H^2(π_1(X),\mathbb R)^{1,1}+ NS(X)\otimes {\mathbb R}$. In this note, we prove that $[ω]$ is the cohomology class of a Kähler metric if and only if for every $d$-dimensional reduced closed algebraic subvariety $Z\subset X$, $[ω]^d.Z>0$. | |
| dc.description | 13 pages, latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9811065 | |
| dc.identifier | http://arxiv.org/abs/math/9811065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77690 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32 J 25, 14 C 30 | |
| dc.title | Un théoréme de Nakai-Moishezon pour certaines classes de type (1,1) | |
| dc.type | text |