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Sep 13, 2011 at 22:21 answer added Georges Elencwajg timeline score: 57
Sep 13, 2011 at 17:28 answer added Sándor Kovács timeline score: 22
Sep 13, 2011 at 15:13 answer added Anton Fonarev timeline score: 3
Sep 13, 2011 at 14:55 comment added Mohammad Farajzadeh-Tehrani Yes, simple, I mean some thing you can check when you have the local analytic defining equations of the map $f$. the standard definition is in terms of flat modules and local rings. But I am not so comfortable with local rings ... . May be some explicit example can help me learn how to deal with a given equation. The easiest one is $ f: \mathbb{C}^2 \rightarrow \mathbb{C}$ given by $(x,y)\rightarrow xy$. How do you check the flatness for this one at origin?
Sep 13, 2011 at 14:47 comment added Joël "is there a simpler definition of flatness for f". Simpler than what? Or do you mean just "simple"?
Sep 13, 2011 at 14:42 history asked Mohammad Farajzadeh-Tehrani CC BY-SA 3.0