Projections are Morphisms Algebraic Geometry Finiteness of Ramification Algebraic Geometry Bézout's Theorem Algebraic Geometry Nonconstant Morphism Induces a Finite Field Extension Algebraic Geometry Bézout's Theorem for Smooth Curves Algebraic Geometry Canonical Divisor of a Smooth Plane Curve Algebraic Geometry Affine Pieces of Projective Varieties Are Affine Varieties Algebraic Geometry Morphisms $\mathbb{P}^n \to \mathbb{P}^m$ for $n > m$ Are Constant Algebraic Geometry