Picard–Fuchs equation

The Picard–Fuchs equation is a type of differential equation that arises in the context of complex geometry, particularly in the study of algebraic varieties and their deformation theory. It is named after Émile Picard and Richard Fuchs, who contributed to the theory of differential equations and their applications in various mathematical contexts. In simpler terms, the Picard–Fuchs equation typically arises when trying to understand the variation of periods of a family of algebraic varieties or complex manifolds.