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math.AC2024
A universal tale of determinants and Gröbner bases
Aldo Conca
In 1965 Buchberger defined Gröbner bases and an algorithm to compute them. Despite a slow start, already in the eighties Gröbner bases had become the main device for symbolic compu…
math.AC2024
On the Castelnuovo-Mumford regularity of subspace arrangements
Aldo Conca, Manolis C. Tsakiris
Let be the union of generic linear subspaces of codimension in . Improving an earlier bound due to Derksen and Sidman, we prove that the Castelnuovo-Mumf…