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math.CO2026
Supports of Castelnuovo-Mumford polynomials
Elena S. Hafner
The Castelnuovo-Mumford polynomials are the maximal degree components of Grothendieck polynomials. The support of each Castelnuovo-Mumford polynomial is conjectured to be M-convex,…
math.CO2023★ 1 cited
M-convexity of Grothendieck polynomials via bubbling
Elena S. Hafner, Karola Mészáros, Linus Setiabrata +1
We introduce bubbling diagrams and show that they compute the support of the Grothendieck polynomial of any vexillary permutation. Using these diagrams, we show that the support of…
math.CO2022
Vexillary Grothendieck Polynomials via Bumpless Pipe Dreams
Elena S. Hafner
Recent work of Pechenik, Speyer, and Weigandt proved a formula for the degree of any Grothendieck polynomial. A distinct formula for the degree of vexillary Grothendieck polynomial…