225 citations · 552 across the 55 of their papers we have counts for
65 papers
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…
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 .…
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…
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…
Taylor Polynomials of Rational Functions
Aldo Conca, Simone Naldi, Giorgio Ottaviani +1
A Taylor variety consists of all fixed order Taylor polynomials of rational functions, where the number of variables and degrees of numerators and denominators are fixed. In one va…
Sagbi combinatorics of maximal minors and a Sagbi algorithm
Winfried Bruns, Aldo Conca
The maximal minors of a matrix of indeterminates are a universal Gröbner basis by a theorem of Bernstein, Sturmfels and Zelevinsky. On the other hand it is known that they are not…