👉 In mathematics, a splitting is an operation that splits an algebraic variety into two irreducible components. This process can be used to analyze and classify varieties of different types. The term "splittings" refers to the process by which a variety may be partitioned into two or more parts, each with its own unique structure. These parts are often related to one another through certain operations such as coordinate transformations or embeddings. The goal is to understand how these partitions affect the algebraic properties of the original