Torelli

Torelli refers to several concepts, primarily related to mathematics and art, often associated with Italian individuals and families bearing the name:

• Alessandro Torelli (1604-1678): An Italian painter of the Baroque period, known for his works in quadratura, a form of illusionistic painting that creates the appearance of architectural features.

• Giuseppe Torelli (1658-1709): An Italian composer and violinist of the Baroque era. He is particularly renowned for his contributions to the development of the concerto, especially the trumpet concerto.

• Torelli Theorem (Algebraic Geometry): A collection of related theorems in algebraic geometry. The most well-known states that a smooth projective curve over the complex numbers is uniquely determined by its polarized Jacobian variety. Variations exist for other varieties such as K3 surfaces. It establishes a deep connection between a geometric object and its moduli space. The "weak Torelli theorem" typically refers to a weaker version of this statement where the curve can be recovered from the tangent space to the period map at the point corresponding to the curve in moduli space.

• Torelli, a surname: The word itself is used as a surname, most prominently borne by Italian families.