65 citations · 215 across the 45 of their papers we have counts for
5 papers · 1 filter
The Hessian polynomial and the Jacobian ideal of a reduced hypersurface in
Laurent Busé, Alexandru Dimca, Hal Schenck +1
For a reduced hypersurface of degree , the Castelnuovo-Mumford regularity of the Milnor algebra is well understood when is smooth, as…
A new bound for smooth spline spaces
Hal Schenck, Mike Stillman, Beihui Yuan
For a planar simplicial complex Delta contained in R^2, Schumaker proved that a lower bound on the dimension of the space C^r_k(Delta) of planar splines of smoothness r and polynom…
Schemes supported on the singular locus of a hyperplane arrangement in
J. Migliore, U. Nagel, H. Schenck
We introduce the use of liaison addition to the study of hyperplane arrangements. For an arrangement, , of hyperplanes in , is free if i…
Quadratic Gorenstein rings and the Koszul property II
Matthew Mastroeni, Hal Schenck, Mike Stillman
A question of Conca, Rossi, and Valla asks whether every quadratic Gorenstein ring of regularity three is Koszul. In a previous paper, we use idealization to answer their quest…
Quadratic Gorenstein rings and the Koszul property I
Matthew Mastroeni, Hal Schenck, Mike Stillman
Let be a standard graded Gorenstein algebra over a field presented by quadrics. Conca, Rossi, and Valla have shown that such a ring is Koszul if or if…