👉 In mathematics, a "kataplectic" object is an algebraic variety that satisfies certain conditions. These conditions include the existence of a global section of the canonical bundle (the dualizing sheaf), which is defined as the direct sum of two line bundles over a point. The existence of this global section means that the variety is globally generated and has dimension greater than 1, indicating that it is not just locally generated but globally generated. This property allows for the construction of families of algebraic