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Karl Schwede
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Hi, here are some references taken from Algebraic geometry I. Schemes. by Gortz and Wedhorn, Appendix E.2. These are generally scattered in EGAIV as far as I remember.

1). This is Appendix E.2(4). They reference EGAIV, 12.1.1

2). I don't see this in their list... But I don't see why it shouldn't be ok. You could try checking out EGA.

3). Normality is Appendix E.2(6). They reference EGAIV 12.1.6. Smoothness is Appendix E.2(5), again see EGAIV 12.1.6.

Karl Schwede
  • 20.5k
  • 3
  • 53
  • 98