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A counterexample to the containment $I^{(3)}\subset I^2$ over the reals

Algebraic Geometry 2016-05-25 v2 Commutative Algebra Combinatorics

Authors: Adam Czapliński , Agata Główka , Grzegorz Malara , Magdalena Lampa - Baczyńska , Patrycja Łuszcz - Świdecka , Piotr Pokora , Justyna Szpond

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Abstract

The purpose of this note is to give counterexamples to the containment $I^{(3)}\subset I^2$ over the real numbers.

Keywords

symbolic powers ideal containment real numbers counterexample commutative algebra

Cite

@article{arxiv.1310.0904,
  title  = {A counterexample to the containment $I^{(3)}\subset I^2$ over the reals},
  author = {Adam Czapliński and Agata Główka and Grzegorz Malara and Magdalena Lampa - Baczyńska and Patrycja Łuszcz - Świdecka and Piotr Pokora and Justyna Szpond},
  journal= {arXiv preprint arXiv:1310.0904},
  year   = {2016}
}

Comments

7 pages, 2 figures, A completely rewritten version reflecting comments and feedback we have received. Contains a Singular script