Timeline for Cohen-Macaulay fibers
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 19, 2015 at 19:15 | comment | added | Bajouca | sorry, the second $X$ is not the same as the first (I changed it). it was just to compare both ideas... what I want is the fiber of $\varphi$ to be a set of $d$ points for all $p\in\mathbb{P}^n$ and the question is if the knowledge of the resolution of each fiber will go for the global scheme (because its a scheme over a base scheme and not over a point). | |
| Mar 19, 2015 at 19:09 | history | edited | Bajouca | CC BY-SA 3.0 |
edited body
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| Mar 19, 2015 at 18:44 | comment | added | Jason Starr | I do not understand your hypotheses. Is the domain $X$ of the morphism $\phi$ supposed to be finite? If so, then $\phi_*\mathcal{O}_X$ will not be a locally free sheaf. However, unless $\phi$ is finite, there is no reason that the induced morphism from $X$ to $\mathbb{P}(\phi_*\mathcal{O}_X)$ should be an immersion. Could you please clarify your hypotheses? | |
| Mar 19, 2015 at 16:30 | history | asked | Bajouca | CC BY-SA 3.0 |