Timeline for Morphisms of flat families of sheaves
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 25, 2019 at 2:00 | comment | added | Walter field | Thank you for the comment! But, how do we prove $E$ is flat over $D$ ? | |
| Dec 24, 2019 at 16:25 | comment | added | Qfwfq | @Walter field: I think you can cross the above example by P1. Let everything be over $\mathbb C$, $D:=Spec(\mathbb{C}[\epsilon]/(\epsilon^2)$, $X:=D\times\mathbb{P}^1$, $\pi:X\to D$, $E:=I$ where $I=\pi^{*}(\epsilon)$, $F:=\mathcal O_X$, and $E\to F$ the inclusion. | |
| Dec 24, 2019 at 15:51 | comment | added | Walter field | Thank you for the answer! If$Y, S$: $\mathbb{C}$-schemes and $Y$: projective over $\mathbb{C}$ of dim $>0$ and $X := Y \times S$,then is the question true ? | |
| Dec 24, 2019 at 14:47 | history | answered | Sasha | CC BY-SA 4.0 |