 If "Y" = Spec "A" and "X" = Spec("A"/"I") are affine, then an embedded infinitesimal deformation amounts to an ideal "I" of "A"["ε"] such that "A"["ε"]/ "I" is flat over "D" and the image of "I" in "A" = "A"["ε"]/"ε" is "I".In general, given a pointed scheme ("S", 0) and a scheme "X", a morphism of schemes