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arxiv: 1312.7778 · v3 · pith:QENPCJFLnew · submitted 2013-12-30 · 🧮 math.AG · math.AC· math.CV

Castelnuovo--Mumford Regularity and Log-canonical Thresholds

Alex K\"uronya , Norbert Pintye This is my paper
classification 🧮 math.AG math.ACmath.CV
keywords castelnuovo--mumfordlog-canonicalregularitycoherentidealinequalityproverelating
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We prove a sharp inequality relating the Castelnuovo--Mumford regularity of a coherent ideal sheaf to its log-canonical threshold.

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  1. A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closure

    math.AC 2026-05 unverdicted novelty 8.0

    An equigenerated monomial ideal in K[x,y,z,w] provides a counterexample to the Küronya-Pintye conjecture by satisfying reg(¯I)=5 > reg(I)=4.