Timeline for Constant function on the generic fiber $f^{-1}(\eta)$ is contained in the function field $K(U)$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 24, 2020 at 15:49 | comment | added | abx | Yes, that's what I mean. | |
| Dec 24, 2020 at 15:23 | comment | added | Aoki | Thanks. You mean since $f^{-1}(\eta)$ is proper irreducible over $k(\eta)$, $f^{*}\colon k(\eta)\rightarrow H^{0}(f^{-1}(\eta),\mathcal{O})$ is an isomorphism ? | |
| Dec 24, 2020 at 10:18 | review | Close votes | |||
| Jan 2, 2021 at 17:00 | |||||
| Dec 24, 2020 at 9:54 | comment | added | abx | What's the problem? As you write, $\phi_{|f^{-1}(\eta )}\in H^0(f^{-1}(\eta ),\mathscr{O})=f^*k(\eta )=f^*K(U)$. | |
| Dec 24, 2020 at 8:53 | history | asked | Aoki | CC BY-SA 4.0 |