What does it mean for a set to be Zariski dense? I mean what are the special that a Zariski dense set has?
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The first property that comes to mind is that if a regular function $f$ is zero on a Zariski dense set $Y$ then it is zero everywhere. This is because the zero locus $V(Y)$ is a closed set containing $Y$. – basket Apr 02 '16 at 02:20
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$V(f)$ not $V(Y)$ – basket Apr 02 '16 at 02:54