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Asymptotic Syzygies of Weighted Projective Spaces

Commutative Algebra 2026-03-27 v2 Algebraic Geometry

Abstract

By adapting methods of Ein-Erman-Lazarsfeld, we prove an analogue of the Ein-Lazarsfeld result on asymptotic syzygies for Veronese embeddings, in the setting of weighted projective spaces of the form P(1n,2)\mathbb{P}(1^n,2).

Keywords

Cite

@article{arxiv.2510.12708,
  title  = {Asymptotic Syzygies of Weighted Projective Spaces},
  author = {Boyana Martinova},
  journal= {arXiv preprint arXiv:2510.12708},
  year   = {2026}
}

Comments

Proofs clarified. 32 pages, comments welcome!