Vanishing theorems for Dolbeault cohomology of log homogeneous varieties
| dc.creator | Brion, Michel | |
| dc.date | 2008-12-14 | |
| dc.date.accessioned | 2026-07-07T12:12:48Z | |
| dc.date.available | 2026-07-07T12:12:48Z | |
| dc.description | We consider a complete nonsingular variety $X$ over $\bC$, having a normal crossing divisor $D$ such that the associated logarithmic tangent bundle is generated by its global sections. We show that $H^i\big(X, L^{-1} \otimes Ω_X^j(\log D)\big) = 0$ for any nef line bundle $L$ on $X$ and all $i < j - c$, where $c$ is an explicit function of $(X,D,L)$. This implies e.g. the vanishing of $H^i(X, L \otimes Ω_X^j)$ for $L$ ample and $i > j$, and gives back a vanishing theorem of Broer when $X$ is a flag variety. | |
| dc.identifier | https://arxiv.org/abs/0812.2658 | |
| dc.identifier | http://arxiv.org/abs/0812.2658 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210665 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Vanishing theorems for Dolbeault cohomology of log homogeneous varieties | |
| dc.type | text |