40 citations · 95 across the 43 of their papers we have counts for
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math.AC2011★ 1 cited
Revisiting the spreading and covering numbers
Ben Babcock, Adam Van Tuyl
We revisit the problem of computing the spreading and covering numbers. We show a connection between some of the spreading numbers and the number of non-negative integer 2x2 matric…
math.AC2011★ 1 cited
Bounding invariants of fat points using a coding theory construction
Stefan O. Tohaneanu, Adam Van Tuyl
Let $Z \subseteq \proj{n}$ be a fat points scheme, and let be the minimum distance of the linear code constructed from . We show that imposes constraints (i.e., up…
math.AC2011★ 4 cited
Symbolic powers versus regular powers of ideals of general points in P^1 x P^1
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Recent work of Ein-Lazarsfeld-Smith and Hochster-Huneke raised the problem of which symbolic powers of an ideal are contained in a given ordinary power of the ideal. Bocci-Harbourn…