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math.AC2019
On the multiplicity and regularity index of toric curves
Daniel Duarte, Alondra Ramírez Sandoval
In this note we revisit the problem of determining combinatorially the multiplicity at the origin of a toric curve. In addition, we give the exact value of the regularity index of…
math.AC2019
On the -torsion of the module of differentials of order of hypersurfaces
Hernán de Alba, Daniel Duarte
We characterize the -torsion freeness of the module of differentials of order of a point of a hypersurface in terms of the singular locus of the corresponding local ring.