Preprint
Sep 2026
The Betti numbers and Golodness of numerical semigroup rings of Sally type
We determine explicit formulae for the Betti numbers of the defining toric ideals of two families of numerical semigroups of Sally type, resolving and extending beyond several conjectures of Goel--\c{S}ahin--Singh--Srinivasan. Our approach uses Ap\'ery resolutions and their specialisations. For the family \[ \Gamma_m(n...
Manav Batavia, Omkar Javadekar, Manohar Kumar
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