On the symbolic powers of binomial edge ideals

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.

References in corpus (1)

• Cohen-Macaulay binomial edge ideals of small deviation

Cited by in corpus (1)

• Comparison of symbolic and ordinary powers of parity binomial edge ideals