Curves in projective space and RSK
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915812712906752 |
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| author | Lian, Carl Solotko, Saskia |
| author_facet | Lian, Carl Solotko, Saskia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curves in projective space and RSK Lian, Carl Solotko, Saskia Combinatorics Algebraic Geometry 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. |
| title | Curves in projective space and RSK |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2508.19503 |