?? concerning idea that "underlying module of ideal embodies concept of blow-up" ... (maybe ... ??....) ... ??? connecting this with "zariski tangent space" ... ???"zariski nomral bundle" ???? .... ?? of course we already knew to do this, sort of ... but ... want to think about it fresh, in light of the "embody" idea which is maybe somewhat new to us ...

"ideal" ... "normal cone bundle" ... ?? "frontier" ?? ... ??? ..... ???? .... "glueing" ... ??? .... ??? .....

1/x

x/x^2

x^2/x^3

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?? ....