Fat lines in P3: powers versus symbolic powers
Abstract
We study the symbolic and regular powers of ideals I for a family of special configurations of lines in P3. For this family, we show that I(m) = Im for all integers m if and only if I(3) = I3. We use these configurations to answer a question of Huneke that asks whether I(m) = Im for all m if equality holds when m equals the big height of the ideal I.
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