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arXiv · 2507.20856

On the Jacobian syzygies for generic toric models

Alexandru Dimca·Gabriel Sticlaru
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Abstract

To a generic hypersurface in the affine torus $(\mathbb{C}^*)^n$ we associate a hypersurface arrangement in the projective space $\mathbb{P}^n$ consisting of the $n+1$ coordinate hyperplanes and a generic hypersurface, and compute the minimal graded resolutions of the corresponding Jacobian algebra.

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Alexandru Dimca, Gabriel Sticlaru. 2025-07-28. On the Jacobian syzygies for generic toric models. https://arxiv.org/abs/2507.20856

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