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arXiv · 2508.08426

Parametrization of positroid cells by Dubrovin-Natanzon Cartier divisors on maximal Mumford curves

Simonetta Abenda·Petr G. Grinevich
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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.

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Simonetta Abenda, Petr G. Grinevich. 2025-08-11. Parametrization of positroid cells by Dubrovin-Natanzon Cartier divisors on maximal Mumford curves. https://arxiv.org/abs/2508.08426

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