z2
conj(w)- w conj(z)
This is the Milnor fibration for the real analytic map f(x, y, z, w) =
(-xz - yw + x2z - y2z + 2xyw, -wx - wx2
+ wy2
+ yz +2xyz).
This is the easiest example of a Twisted Pham-Brieskorn
singularity. Actually, it is not quite a Twisted
Pham-Brieskorn
singularity, because the power of w in
the complex form of the equation should be two or greater.
But honestly, this is pretty complicated as is.
Something went wrong in the rendering. It looks like the
brighter
points ended up out of the color range, and so they were
replaced
with black. I need to fix this. Still, you can get
an idea
of what the fibration looks like.
BACK...
Created
by Dan Dreibelbis. Last modified 3/19/09.