Timeline for Nonvanishing of Jacobians implies global injectivity?
Current License: CC BY-SA 3.0
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| Aug 17, 2012 at 17:02 | comment | added | Vidit Nanda | Marc, the first principal minor in the Jacobian of $F$ is just the $x$-derivative of $f(x,y)$, and I don't believe that this quantity is non-vanishing. If you evaluate the derivative as a function of $y$ at $x=0$ for instance, it vanishes whenever $\tan(y) = \frac{1}{2y}$. | |
| Aug 17, 2012 at 16:22 | history | answered | Marc Chamberland | CC BY-SA 3.0 |