For every k, the k-torsion freeness of the nth-order Kähler differential module of a hypersurface point is equivalent to the singular locus having codimension at least k+1.
Grothendieck; ´El´ ements de g´ eometrie alg´ ebrique IV, Quatri` eme partie, ´Etude locale des sch´ emas et des morphismes des sch´ emas, Publ
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the $k$-torsion of the module of differentials of order $n$ of hypersurfaces
For every k, the k-torsion freeness of the nth-order Kähler differential module of a hypersurface point is equivalent to the singular locus having codimension at least k+1.