Commit 2025-01-30 13:06 6f5142e8
View on Github →feat(RingTheory/StandardSmooth): naive cotangent complex of a submersive presentation (#19748)
We show that H¹(L_{S/R})
is trivial if S
is R
-standard smooth and that Ω[S⁄R]
is free of rank n
if S
is R
-standard smooth of relative dimension n
.
In particular this shows that standard smooth implies smooth and that standard smooth of relative dimension zero implies smooth and unramified.