English

Interpolation for Brill-Noether curves in $\mathbb{P}^4$

Algebraic Geometry 2018-09-20 v2

Abstract

In this paper, we compute the number of general points through which a general Brill-Noether curve in P4\mathbb{P}^4 passes. We also prove an analogous theorem when some points are constrained to lie in a transverse hyperplane. As explained in arXiv:1809.05980, these results play an essential role in the first author's proof of the Maximal Rank Conjecture.

Keywords

Cite

@article{arxiv.1708.00028,
  title  = {Interpolation for Brill-Noether curves in $\mathbb{P}^4$},
  author = {Eric Larson and Isabel Vogt},
  journal= {arXiv preprint arXiv:1708.00028},
  year   = {2018}
}

Comments

25 pages

R2 v1 2026-06-22T21:02:45.545Z