Fano variety
TYPE OF ALGEBRAIC VARIETY
Fano scheme; Fano 3-fold; Fano threefold; Fano varieties; Fano manifolds; Fano manifold
In algebraic geometry, a Fano variety, introduced by Gino Fano in , is a complete variety X whose anticanonical bundle KX* is ample. In this definition, one could assume that X is smooth over a field, but the minimal model program has also led to the study of Fano varieties with various types of singularities, such as terminal or klt singularities.