The Gorenstein property refers to a condition on rings, specifically that a ring has a dualizing complex of a certain type, making it a special case of Cohen-Macaulay rings. This property implies that the singularities of the corresponding algebraic variety are well-behaved in a geometric sense, allowing for certain duality theorems to hold true. In the context of toric morphisms and subdivisions, this property is essential for understanding how certain varieties can be constructed from combinatorial data.
congrats on reading the definition of Gorenstein Property. now let's actually learn it.