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Article Dans Une Revue Bull. Math. Soc. Sci. Math. Roumanie Année : 2013

Syzygies of Jacobian ideals and defects of linear systems

Alexandru Dimca

Résumé

Our main result describes the relation between the syzygies involving the first order partial derivatives $f_0,...,f_n$ of a homogeneous polynomial $f\in \C[x_0,...x_n]$ and the defect of the linear systems vanishing on the singular locus subscheme $\Sigma_f=V(f_0,...,f_n)$ of the hypersurface $D:f=0$ in the complex projective space $\PP^n$, when $D$ has only isolated singularities.

Dates et versions

hal-00940177 , version 1 (31-01-2014)

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Citer

Alexandru Dimca. Syzygies of Jacobian ideals and defects of linear systems. Bull. Math. Soc. Sci. Math. Roumanie, 2013, 56(104), pp.191-203. ⟨hal-00940177⟩
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