# Need references on moduli of subvarieties of given dimension and degree of the projective space P^N

Hello,

I need to understand the moduli of subvarieties of given dimension and degree of the projective space P^N. Is there any good place to look into? Thank you.

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Grothendieck's FGA. –  Sasha Nov 29 '12 at 7:57
The original construction in Grothendieck's FGA is rather delicate in several respects. Mumford came up with a technically simpler method using "flattening stratifications". Look at the recent book "FGA Explained" for commentary on both methods. –  user29283 Nov 29 '12 at 11:32

And then you can read chapter $VI$, section $VI.2.2$ of "The geometry of schemes" by D. Eisenbud and J. Harris (GTM springer).