Exhibits a monomial ideal I in K[x,y,z,w] with reg(I)=4 but reg(overline{I})=5, providing a counterexample to the Küronya-Pintye conjecture.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AC 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Explicit formula for regularity of almost complete intersection monomial ideals and proof that integral closure regularity is bounded by the original for dominant and almost complete intersection cases.
citing papers explorer
-
A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closure
Exhibits a monomial ideal I in K[x,y,z,w] with reg(I)=4 but reg(overline{I})=5, providing a counterexample to the Küronya-Pintye conjecture.
-
On the Regularity of Dominant and Almost Complete Intersection Monomial Ideals
Explicit formula for regularity of almost complete intersection monomial ideals and proof that integral closure regularity is bounded by the original for dominant and almost complete intersection cases.