Complete intersection vanishing ideals on degenerate tori over finite fields
Complete intersection vanishing ideals on degenerate tori over finite fields
We study the complete intersection property and the algebraic invariants (index of regularity, degree) of vanishing ideals on degenerate tori over finite fields. We establish a correspondence between vanishing ideals and toric ideals associated to numerical semigroups. This correspondence is shown to preserve the complete intersection property, and allows us …