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.