Counterexamples to the $I^{(3)} \subset I^2$ containment

Halszka Tutaj-Gasinska; Marcin Dumnicki; Tomasz Szemberg

arxiv: 1301.7440 · v3 · pith:ER4OSKCSnew · submitted 2013-01-30 · 🧮 math.AG · math.AC

Counterexamples to the I⁽³⁾ subset I² containment

Marcin Dumnicki , Tomasz Szemberg , Halszka Tutaj-Gasinska This is my paper

classification 🧮 math.AG math.AC

keywords idealpoweranswersaskedcomplexcontainedcontainmentcounterexamples

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We show that in general the third symbolic power of a radical ideal of points in the complex projective plane is not contained in the second usual power of that ideal. This answers in negative a question asked by Huneke and generalized by Harbourne.

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Counterexamples to the I⁽³⁾ subset I² containment

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