Timeline for Finite maps and jacobian condition
Current License: CC BY-SA 4.0
2 events
| when toggle format | what | by | license | comment | |
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| Aug 13, 2018 at 16:15 | comment | added | R. van Dobben de Bruyn | I used $\det J_f = 1 \in A$ instead of $\det J_f = 1 \in R[X_1,\ldots,X_n]$ because the latter is extremely rare. For $R = \mathbb C$, the Jacobian conjecture says that $\det J_f = 1 \in \mathbb C[X_1,\ldots,X_n]$ implies that $f \colon \mathbb A^n_{\mathbb C} \to \mathbb A^n_{\mathbb C}$ is an isomorphism. In particular, $A \cong \mathbb C$, which is not a very interesting case. | |
| Aug 13, 2018 at 16:01 | history | answered | R. van Dobben de Bruyn | CC BY-SA 4.0 |