On the symbolic powers of binomial edge ideals

Viviana Ene; Jürgen Herzog

doi:10.1007/978-3-030-52111-0_4

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arXiv · 2009.03156

On the symbolic powers of binomial edge ideals

Viviana Ene·Jürgen Herzog

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Abstract

We show that under some conditions, if the initial ideal in$_<(I)$ of an ideal $I$ in a polynomial ring has the property that its symbolic and ordinary powers coincide, then the ideal $I$ shares the same property. We apply this result to prove the equality between symbolic and ordinary powers for binomial edge ideals with quadratic Gröbner basis.

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BibTeX RIS

Viviana Ene, Jürgen Herzog. 2020-09-07. On the symbolic powers of binomial edge ideals. https://doi.org/10.1007/978-3-030-52111-0_4

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