English

Generalized De Jonquieres divisors on generic curves

Algebraic Geometry 2022-10-17 v1

Abstract

The classical De Jonquieres and MacDonald formulas describe the virtual number of divisors with prescribed multiplicities in a linear system on an algebraic curve. We establish an essentially optimal result concerning the enumerative validity of these formulas in the case of a general curve of genus g.

Keywords

Cite

@article{arxiv.2210.07843,
  title  = {Generalized De Jonquieres divisors on generic curves},
  author = {Gavril Farkas},
  journal= {arXiv preprint arXiv:2210.07843},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-28T03:39:19.539Z