Can I read Castelnuovo-Mumford regularity for $321$-avoiding Kazhdan-Lusztig varieties on EtoBox?

Castelnuovo-Mumford regularity for $321$-avoiding Kazhdan-Lusztig varieties by Robichaux, Colleen is a scholarly article available to read on EtoBox.

What is Castelnuovo-Mumford regularity for $321$-avoiding Kazhdan-Lusztig varieties about?

We introduce an algorithm which combinatorially computes the Castelnuovo-Mumford regularity of 321-avoiding Kazhdan-Lusztig varieties using excited diagrams. This extends earlier work of Rajchgot, Weigandt, and the author (2022) which computes the regularity of Grassmannian Kazhdan-Lusztig varieties. Our results specialize to compute the regularity of all two-sided mixed ladder determinantal varieties in terms of lattice paths.

Author

Robichaux, Colleen

Published

2023

Language

EN