Variety - Mathematics

Mathematics

• Abelian variety, a complex torus that can be embedded into projective space
• Abstract variety, an intrinsically defined variety
• Algebraic variety, the basic object of study in algebraic geometry
  • Affine variety, a subset of algebraic varieties
  • Projective variety, a subset of algebraic varieties
  • Quasiprojective variety, a subset of algebraic varieties (which includes projective and affine varieties)
• Analytic variety, an object much like an algebraic variety but defined as the zero set of finitely many (real- or complex-)analytic functions
• Variety (universal algebra), classes of algebraic structures defined by equations in universal algebra