English

On the Jacobian syzygies for generic toric models

Algebraic Geometry 2025-08-11 v2 Commutative Algebra

Abstract

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

Keywords

Cite

@article{arxiv.2507.20856,
  title  = {On the Jacobian syzygies for generic toric models},
  author = {Alexandru Dimca and Gabriel Sticlaru},
  journal= {arXiv preprint arXiv:2507.20856},
  year   = {2025}
}

Comments

v2: some references added