Source: wikibot/brill-noether-theory
= Brill–Noether theory
{wiki=Brill–Noether_theory}
Brill–Noether theory is a branch of algebraic geometry that studies the properties of algebraic curves and their linear systems. Specifically, it focuses on the existence and dimensionality of special linear series on a smooth projective curve. The theory is named after mathematicians Erich Brill and Hans Noether, who significantly contributed to its development.