English

Distinguishing Brill-Noether loci

Algebraic Geometry 2024-07-01 v1

Abstract

We construct curves carrying certain special linear series and not others, showing many non-containments between Brill-Noether loci in the moduli space of curves. In particular, we prove the Maximal Brill-Noether Loci conjecture in full generality.

Keywords

Cite

@article{arxiv.2406.19993,
  title  = {Distinguishing Brill-Noether loci},
  author = {Asher Auel and Richard Haburcak and Andreas Leopold Knutsen},
  journal= {arXiv preprint arXiv:2406.19993},
  year   = {2024}
}

Comments

23 pages, 1 figure, comments welcome!

R2 v1 2026-06-28T17:22:45.226Z