This research explores the relationship between affine toric varieties and Weierstrass semigroups, suggesting new examples with specific generating elements.
Key Points
The aim is to construct Weierstrass semigroups from two-dimensional affine toric varieties.
Examined the structure of two-dimensional affine toric varieties over an algebraically closed field.
Developed a method to construct Weierstrass semigroups from these varieties.
Provided examples of Weierstrass semigroups generated by multiple elements.
Identified a way to embed a monomial curve into affine space based on the toric varieties.
Presented examples where for any n≥2, the Weierstrass semigroup is generated by n elements.