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Preprints, Working Papers, ... Year : 2018

Monomial ideals with tiny squares

Abstract

Let I ⊂ K[x, y] be a monomial ideal. How small can µ(I^2) be in terms of µ(I)? It has been expected that the inequality µ(I^2) > µ(I) should hold whenever µ(I) ≥ 2. Here we disprove this expectation and provide a somewhat surprising answer to the above question.
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hal-01691312 , version 1 (23-01-2018)

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Shalom Eliahou, Jürgen Herzog, Maryam Mohammadi Saem. Monomial ideals with tiny squares. 2018. ⟨hal-01691312⟩
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