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math.AC2026
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…
math.AC2026
Sagbi bases, defining ideals and algebra of minors
Winfried Bruns, Aldo Conca, Francesca Lembo
This paper extends the article of the Bruns and Conca on SAGBI bases and their computation (J. Symb. Comput. 120 (2024)) in two directions. (i) We describe the extension of the Sin…
math.AC2025
F-singularities of polynomials with square-free support
Aldo Conca, Alessandro De Stefani, Luis Núñez-Betancourt +1
We show that the intersection of the irreducible components of a hypersurface defined by a polynomial with square-free support has F-rational singularities in characteristic .…