Exactly! Do you remember the best bounds people have in char p? (Bounds depending on relative dimension of X over Y I think; I looked yesterday but I couldn’t find the paper I remember reading.)

]]>These kinds of “flat extensions of LCI morphisms on the generic fiber” come up when you try to get height bounds using the Chow variety (complete intersections have unobstructed deformations, so you can lift to characteristic 0).

]]>Of course! Thanks very much!

]]>I think I misspelled my last name in my previous comment (I was using a phone).

]]>Exactly!

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