Bezout's Theorem Algebraic Geometry Degree of the Canonical Class Algebraic Geometry Primitive Generator for Function Fields Algebraic Geometry Basic Dimension Bounds for $\mathcal{L}(D)$ Algebraic Geometry Proper Subvarieties of a Curve Are Finite Algebraic Geometry Finiteness of Ramification Algebraic Geometry Function Field is Finitely Generated Algebraic Geometry Projective Closure of an Affine Variety via Homogenisation of the Ideal Algebraic Geometry