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The Shapiro–Shapiro conjecture for ordered positive flags

Contributed by Qiyue Tang

We prove the Shapiro–Shapiro conjecture for ordered totally positive flags in Grassmannians.

Author comments: I am posting this manuscript to share the mathematical results themselves. In doing so, I do not seek to assert ownership of the results or claim priority. I welcome anyone interested in checking the arguments or preparing a finished account, and I believe the eventual scholarly credit should go to those who undertake that work.

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Nov 13, 202615 pages

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The Shapiro–Shapiro conjecture for ordered positive flags

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