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· DOI 10.1007/s13348-026-00509-y

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math.AG 2

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2026 2

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On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$

math.AG · 2026-04-27 · unverdicted · novelty 5.0 · 2 refs

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

Plane curve singularities and Fitting ideals

math.AG · 2026-06-18 · unverdicted · novelty 4.0

Investigates Fitting ideals of Tjurina ideals for non-quasi-homogeneous plane curve singularities, highlighting special properties when Milnor-Tjurina difference is at most 2.

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  • On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$ math.AG · 2026-04-27 · unverdicted · none · ref 4 · 2 links

    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

  • Plane curve singularities and Fitting ideals math.AG · 2026-06-18 · unverdicted · none · ref 23

    Investigates Fitting ideals of Tjurina ideals for non-quasi-homogeneous plane curve singularities, highlighting special properties when Milnor-Tjurina difference is at most 2.