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math.AC2026
KW Semigroups -- Their Betti Numbers, Apéry Posets and Tangent Cones
Mario González-Sánchez, Hema Srinivasan
Let p<q be coprime integers. Kunz-Waldi semigroups are numerical semigroups containing p and q and contained in <p,q,r>, where 2r=p,q,p+q whichever is even. In this paper, we prove…
math.AC2026
Castelnuovo-Mumford regularity of toric varieties with at most one singular point
Ignacio García-Marco, Philippe Gimenez, Mario González-Sánchez
We establish upper bounds for the Castelnuovo--Mumford regularity of the coordinate ring of a simplicial projective toric variety with at most one singular point. In the smooth cas…