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arXiv · 1210.1795

Syzygies of Jacobian ideals and defects of linear systems

Alexandru Dimca
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Abstract

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 $Σ_f=V(f_0,...,f_n)$ of the hypersurface $D:f=0$ in the complex projective space $\PP^n$, when $D$ has only isolated singularities.

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Alexandru Dimca. 2012-12-24. Syzygies of Jacobian ideals and defects of linear systems. https://arxiv.org/abs/1210.1795

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