English

Higher order embeddings via the basepoint-freeness threshold

Algebraic Geometry 2024-04-08 v1

Abstract

In this note, we relate the basepoint-freeness threshold of a polarized abelian variety, introduced by Jiang and Pareschi, with kk-jet very ampleness. Then, we derive several applications of this fact, including a criterion for the kk-very ampleness of Kummer varieties.

Keywords

Cite

@article{arxiv.2404.03942,
  title  = {Higher order embeddings via the basepoint-freeness threshold},
  author = {Federico Caucci},
  journal= {arXiv preprint arXiv:2404.03942},
  year   = {2024}
}

Comments

To appear in Proc. Amer. Math. Soc

R2 v1 2026-06-28T15:44:53.960Z