Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties

Jenna Rajchgot, Colleen Robichaux, Anna Weigandt

We give degree formulas for Grothendieck polynomials indexed by vexillary permutations and $1432$-avoiding permutations via tableau combinatorics. These formulas generalize a formu…