English

Toric Degenerations of Low Degree Hypersurfaces

Algebraic Geometry 2023-04-13 v2 Commutative Algebra

Abstract

We show that a sufficiently general hypersurface of degree dd in nn-dimensional projective space admits a toric Gr\"obner degeneration if and only if d2n1d\leq 2n-1.

Keywords

Cite

@article{arxiv.2208.11645,
  title  = {Toric Degenerations of Low Degree Hypersurfaces},
  author = {Nathan Ilten and Oscar Lautsch},
  journal= {arXiv preprint arXiv:2208.11645},
  year   = {2023}
}

Comments

6 pages; v2 minor revisions. To appear in Canadian Mathematical Bulletin