Explicit formulas express dimension and degree of singular subschemes of hypersurfaces in P^n via Betti numbers of the Jacobian algebra's minimal resolution, yielding new restrictions on those numbers and a definition for homologically strictly plus-one generated hypersurfaces with singular locus di
Hartshorne, Algebraic Geometry
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On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
Explicit formulas express dimension and degree of singular subschemes of hypersurfaces in P^n via Betti numbers of the Jacobian algebra's minimal resolution, yielding new restrictions on those numbers and a definition for homologically strictly plus-one generated hypersurfaces with singular locus di