43 citations · 88 across the 22 of their papers we have counts for
23 papers
Quasi-cyclic modules and coregular sequences
Robin Hartshorne, Claudia Polini
We develop the theory of coregular sequences and codepth for modules that need not be finitely generated or artinian over a Noetherian ring. We use this theory to give a new versio…
Simple D-module components of local cohomology modules
Claudia Polini, Robin Hartshorne
For a projective variety V in P^n over a field of characteristic zero, with homogeneous ideal I in A = k[x0,x1,...,xn], we consider the local cohomology modules H^i_I(A). These hav…
On the intersection of ACM curves in $\PP^3$
R. Hartshorne, R. M. Miró-Roig
Bezout's theorem gives us the degree of intersection of two properly intersecting projective varieties. As two curves in P^3 never intersect properly, Bezout's theorem cannot be di…
Twenty Points in P^3
David Eisenbud, Robin Hartshorne, Frank-Olaf Schreyer
Using the possibility of computationally determining points on a finite cover of a unirational variety over a finite field, we determine all possibilities for direct Gorenstein lin…
Divisors class groups of singular surfaces
Robin Hartshorne, Claudia Polini
We compute divisors class groups of singular surfaces. Most notably we produce an exact sequence that relates the Cartier divisors and almost Cartier divisors of a surface to the t…
Smooth curves specialize to extremal curves
Robin Hartshorne, Paolo Lella, Enrico Schlesinger
Let denote the Hilbert scheme of locally Cohen-Macaulay curves of degree and genus in projective three space. We show that, given a smooth irreducible curve o…