Curves in projective space and RSK
Combinatorics
2026-02-25 v2 Algebraic Geometry
Abstract
The geometric Tevelev degrees of projective space enumerate general, pointed algebraic curves interpolating through the maximal possible number of points. Previous work expresses these invariants in terms of Schubert calculus. Extending ideas of Gillespie--Reimer-Berg, we use the RSK correspondence to give a positive interpretation of these counts in terms of the combinatorics of words.
Cite
@article{arxiv.2508.19503,
title = {Curves in projective space and RSK},
author = {Carl Lian and Saskia Solotko},
journal= {arXiv preprint arXiv:2508.19503},
year = {2026}
}
Comments
13 pages, to appear in Algebraic Combinatorics