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math.AC2023
Schubert determinantal ideals are Hilbertian
Ada Stelzer, Alexander Yong
Abhyankar defined an ideal to be Hilbertian if its Hilbert polynomial coincides with its Hilbert function for all nonnegative integers. In 1984, he proved that the ideal of (r+1)-o…
math.AC2023
Matrix Schubert varieties, binomial ideals, and reduced Gröbner bases
Ada Stelzer
We prove a sharp lower bound on the number of terms in an element of the reduced Gröbner basis of a Schubert determinantal ideal under the term order of [Knutson-Miller '05].…