A counterexample to a conjecture of Küronya and Pintye on regularity and integral closure

Soumyadeep Misra

We exhibit an equigenerated monomial ideal $I\subseteq K[x,y,z,w]$ with $\mathrm{reg}(\overline{I})>\mathrm{reg}(I)$. The ideal $I$ is generated in degree 4 and satisfi…