9 citations · 10 across the 2 of their papers we have counts for
4 papers
Elementary modifications and line configurations in P^2
Henry K. Schenck
Associated to an arrangement of projective hyperplanes A is the module D(A), which consists of derivations tangent to A. We study D(A) when A is a configuration of lines in the pro…
Linear systems on a special rational surface
Hal Schenck
We study the Hilbert series of a family of ideals J_ϕgenerated by powers of linear forms in k[x_1,...,x_n]. Using the results of Emsalem-Iarrobino, we formulate this as a question…
Local Complete Intersections in P^2 and Koszul Syzygies
David Cox, Hal Schenck
We study the syzygies of a codimension two ideal I = <f_1,f_2,f_3> in k[x,y,z]. Our main result is that the module of syzygies vanishing (scheme-theoretically) at the zero locus Z…
The Module of Logarithmic p-forms of a Locally Free Arrangement
Mircea Mustata, Hal Schenck
For an essential, central hyperplane arrangement A in V=k^{n+1}, we show that Ω^1(A) (the module of logarithmic one forms with poles along A) gives rise to a locally free sheaf on…