Timeline for Smooth morphism (algebraic geometry) vs. Submersion (differential geo) & Ehresman's Lemma
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 21, 2023 at 16:11 | comment | added | Mikhail Borovoi | @red_trumpet: Thank you! it is very helpful. | |
| Mar 21, 2023 at 15:43 | comment | added | red_trumpet | @MikhailBorovoi Hartshorne, Algebraic geometry, III Proposition 10.4. | |
| Apr 26, 2021 at 7:43 | comment | added | Alexander Betts | I don't know a precise reference off the top of my head, but the place I'd look first would be Griffiths and Harris' Principles of Algebraic Geometry, which develops a lot of the theory of algebraic geometry from a complex-analytic perspective. I don't have a copy with me right now, so can't say for certain whether they treat smoothness and submersions. Let me know if this doesn't work, and I can ask a few colleagues for other suggestions. | |
| Apr 25, 2021 at 19:46 | comment | added | Mikhail Borovoi | Do you know a reference for the following statement (proved in your answer)? Let $\varphi\colon X\to Y$ be a surjective morphism of smooth $\Bbb C$-varieties. Then $\varphi$ is smooth if and only if the map on $\Bbb C$-points is a submersion, that is, $\varphi$ induces surjections on the tangent spaces. | |
| Nov 23, 2020 at 0:33 | vote | accept | user267839 | ||
| Nov 1, 2020 at 19:50 | history | answered | Alexander Betts | CC BY-SA 4.0 |