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math.AC2010
Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1
Elena Guardo, Adam Van Tuyl
Let Z be a set of fat points in P^1 x P^1 that is also arithmetically Cohen-Macaulay (ACM). We describe how to compute the degree of a separator of a fat point of multiplicity m fo…
math.AG2010
Star configuration points and generic plane curves
Enrico Carlini, Adam Van Tuyl
Consider l lines in P^2 such that no three lines meet in a point. Let X(l) denote all points of intersections of these l lines. We describe all pairs (d,l) such that generic degree…