Timeline for How big can a family of pairwise intesecting affine spaces be?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 3, 2014 at 14:21 | comment | added | Jason Starr | At least for $n=3$, I remember something about this in the section of Griffiths-Harris: "the quadric line complex". For a general point $[\pi]$ of $X$, think of the Zariski tangent space of $\pi$ as a vector subspace of the space of global sections of the normal bundle $N_{\pi/\mathbb{P}^n}\cong \textit{Hom}(S,Q)$, where $S$ and $Q$ are the restrictions to $\pi$ of the universal subbundle, resp. quotient bundle. Your sections each vanish somewhere. You want to use this to prove that all sections have some kernel in $S$ or have image in a proper subbundle of $Q$ . . . | |
| Dec 3, 2014 at 8:45 | history | edited | peter | CC BY-SA 3.0 |
X-should be closed and irreducible, there should be no base points.
|
| Dec 3, 2014 at 0:16 | review | First posts | |||
| Dec 3, 2014 at 0:35 | |||||
| Dec 3, 2014 at 0:15 | history | asked | peter | CC BY-SA 3.0 |