Séminaire Lotharingien de Combinatoire, 89B.45 (2023), 12 pp.

Colleen Robichaux

Castelnuovo-Mumford Regularity for 321-Avoiding Kazhdan-Lusztig Varieties

Abstract. We introduce an algorithm to compute the degrees of 321-avoiding unspecialized Grothendieck polynomials. Our result provides an algorithm to compute the Castelnuovo-Mumford regularity of 321-avoiding Kazhdan-Lusztig ideals. This extends the work of an earlier paper of Rajchgot, the author, and Weigandt (2022) which gives a formula in the case of Grassmannian Kazhdan-Lusztig ideals.

Received: November 15, 2022. Accepted: February 20, 2023. Final version: April 1, 2023.

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