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Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity
Jenna Rajchgot, Yi Ren, Colleen Robichaux +2
We give an explicit formula for the degree of the Grothendieck polynomial of a Grassmannian permutation and a closely related formula for the Castelnuovo-Mumford regularity of the…
Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes
Ricky Ini Liu, Karola Mészáros, Avery St. Dizier
Gelfand-Tsetlin polytopes are classical objects in algebraic combinatorics arising in the representation theory of . The integer point transform of the…
Gelfand-Tsetlin polytopes: a story of flow and order polytopes
Ricky Ini Liu, Karola Mészáros, Avery St. Dizier
Gelfand-Tsetlin polytopes are prominent objects in algebraic combinatorics. The number of integer points of the Gelfand-Tsetlin polytope is equal to the dimension…
Zero-one Schubert polynomials
Alex Fink, Karola Mészáros, Avery St. Dizier
We prove that if is a pattern of , then we can express the Schubert polynomial as a monomial times (in reindexed variables)…