The radicality conjecture for patch ideals of K-orbit closures

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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.

References

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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