6533b854fe1ef96bd12adeb3

RESEARCH PRODUCT

Affine Algebraic Varieties

Lauri KahanpääPekka KekäläinenKaren E. SmithWill Traves

subject

Pure mathematicsZariski topologyConic sectionMathematics::History and OverviewZero (complex analysis)Algebraic varietyAffine transformationAlgebraic geometryAlgebraic numberIrreducible componentMathematics

description

Algebraic geometers study zero loci of polynomials. More accurately, they study geometric objects, called algebraic varieties, that can be described locally as zero loci of polynomials. For example, every high school mathematics student has studied a bit of algebraic geometry, in learning the basic properties of conic sections such as parabolas and hyperbolas.

https://doi.org/10.1007/978-1-4757-4497-2_1