Mathematics > Algebraic Geometry
arXiv:2508.08426 (math)
[Submitted on 11 Aug 2025 (v1), last revised 24 Aug 2026 (this version, v2)]
Abstract:We prove that each totally positive Schubert cell is a real component of Jacobian of the maximal Mumford ($\mathtt{MM}$) curve corresponding to the Le-graph of such cell. At this aim we construct a bijection between the points of this positroid cell and Dubrovin-Natanzon Cartier divisors on the $\mathtt{MM}$-curve.
| Comments: | Version 1: 35 pages, 25 figures. Version 2 (42 pages, 44 figures): fully revised version with addition of new results (Theorem 1 (item 2), Theorems 2,3, and 4) |
| Subjects: | Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Combinatorics (math.CO); Exactly Solvable and Integrable Systems (nlin.SI) |
| MSC classes: | 14H70 (Primary) 14C20, 14H40, 14P25, 14T90, 37K10, 37K15 |
| Cite as: | arXiv:2508.08426 [math.AG] |
| (or arXiv:2508.08426v2 [math.AG] for this version) | |
| https://doi.org/10.48550/arXiv.2508.08426 arXiv-issued DOI via DataCite |
Submission history
From: Simonetta Abenda [view email]
[v1]
Mon, 11 Aug 2025 19:28:43 UTC (300 KB)
[v2]
Mon, 24 Aug 2026 10:20:11 UTC (559 KB)
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