On 7-semigroups of genus 9 generated by 5 elements

Key Points

• The aim is to develop an affine toric variety from a specific non-primitive 7-semigroup of genus 9 generated by 5 elements.
• Constructed an affine toric variety from the 7-semigroup.
• Analyzed the properties of the 7-semigroup and the corresponding monomial curve.
• Examined the specialization relationship between the 7-semigroup and the variety.
• The constructed affine toric variety successfully incorporates the non-primitive 7-semigroup.
• The monomial curve linked to the 7-semigroup is shown to be a specialization of the variety.