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no. 2
Curves in projective space and RSK
Algebraic Combinatorics, Volume 9 (2026) no. 2, pp. 427-439

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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DOI: 10.5802/alco.485
Classification: 05A05, 05A19, 05E14, 14H10, 14N10, 14N15
Keywords: Tevelev degrees, algebraic curves, Schubert calculus, RSK, words, Young tableaux
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
Lian, Carl; Solotko, Saskia. Curves in projective space and RSK. Algebraic Combinatorics, Volume 9 (2026) no. 2, pp. 427-439. doi: 10.5802/alco.485
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