Fano's Theorem is a result in the field of algebraic geometry that deals with the properties of algebraic varieties. Specifically, it provides conditions under which a projective variety can be considered "non-degenerate," meaning it does not have certain undesirable geometric features. The theorem is particularly important for understanding the structure of varieties and their embeddings in projective space. The theorem is named after the Italian mathematician Gino Fano, who made significant contributions to algebraic geometry in the early 20th century. Fano's Theorem has implications for the classification of algebraic varieties and is often used in conjunction with other results in the field, such as Mori's Program, which aims to understand the birational geometry of varieties.