Pseudo-index of Fano manifolds and smooth blow-ups
| dc.creator | Bonavero, Laurent | |
| dc.date | 2003-09-29 | |
| dc.date.accessioned | 2026-07-07T05:01:31Z | |
| dc.date.available | 2026-07-07T05:01:31Z | |
| dc.description | Suppose $π: X \to Y$ is a smooth blow-up along a submanifold $Z$ of $Y$ between complex Fano manifolds $X$ and $Y$ of pseudo-indices $i_X$ and $i_Y$ respectively (recall that $i_X$ is defined by $i_X := \min \{-K_X \cdot C | C {is a rational curve of} X\}$). We prove that $i_X \leq i_Y$ if $2\dim (Z)< \dim(Y) + i_Y -1$ and show that this result is optimal by classifying the ``boundary'' cases. As expected, these results are obtained by studying rational curves on $X$ and $Y$. | |
| dc.identifier | https://arxiv.org/abs/math/0309460 | |
| dc.identifier | http://arxiv.org/abs/math/0309460 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68699 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J45, 14E30, 14E05 | |
| dc.title | Pseudo-index of Fano manifolds and smooth blow-ups | |
| dc.type | text |