For any holomorphic F in n variables, J2(F) = J1(F)^(n+1) + J1(F)^(n-2)Q(F), resolving a conjecture for all n and giving a new proof of contact invariance for k=2.
Computational aspects of the higher Nash blowup of hypersurfaces
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On the Structure of Second Jacobian Ideals
For any holomorphic F in n variables, J2(F) = J1(F)^(n+1) + J1(F)^(n-2)Q(F), resolving a conjecture for all n and giving a new proof of contact invariance for k=2.