👉 In mathematics, a degeneracy (also known as a degeneration) is a mathematical concept used to describe the behavior of functions or structures on an algebraic variety. It describes how certain geometric properties, such as being singular, may change when we perturb the structure. A degenerate function is one that has only finitely many critical points (singular points). These are precisely those points where the derivative of the function is not zero at all. A degenerate structure on an algebraic
