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Castelnuovo-Mumford regularity and Schubert geometry

Castelnuovo-Mumford regularity and Schubert geometry

We study the Castelnuovo-Mumford regularity of tangent cones of Schubert varieties. Conjectures about this statistic are presented; these are proved for the <italic>covexillary</italic> case. This builds on work of L. Li and the author on these tangent cones, as well as that of J. Rajchgot-Y. Ren-C. Robichaux-A. St. Dizier-A. Weigandt …