The radicality conjecture for patch ideals of K-orbit closures

Let Iγ,βI_{\gamma,\beta} be the patch ideal defining a neighborhood of the KK-orbit closure YγY_{\gamma} at the point indexed by β\beta. Patch-ideal radicality conjecture. The ideal Iγ,βI_{\gamma,\beta} is radical. Radicality has been verified for the stated finite families of patch ideals in the paper, but remains open in general.

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Primary source

Benjamin J. Wyser and Alexander Yong, “Polynomials for GL_p x GL_q orbit closures in the flag variety”, arXiv:1308.2632 (2014).

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