Koszul–Tate resolution

The Koszul–Tate resolution is a construction in algebraic geometry and homological algebra used to study certain algebraic structures, particularly those that involve differential forms or algebraic relations. It is named after Jean-Pierre Serre and William Tate, who contributed to the understanding of such resolutions. In simple terms, the Koszul-Tate resolution provides a way to resolve algebraic objects, such as modules or complexes associated with algebraic varieties, using tools from homological algebra.