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arXiv · 2508.19503

Curves in projective space and RSK

Carl Lian·Saskia Solotko
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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.

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Carl Lian, Saskia Solotko. 2026-02-24. Curves in projective space and RSK. https://arxiv.org/abs/2508.19503

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