It is well known since the beginning of the 20th century that a minimal model of an algebraic complex surface is unique. From this one can deduce that minimal models of surfaces of general type with bounded volume form a bounded family. In this talk I will show how the number of minimal models of an n-dimensional manifold can be bounded in term of its volume for any n. Moreover, I will explain that in any dimension minimal models of general type and bounded volume form a bounded family. This is based on a joint work with D. Martinelli and S. Schreieder. |

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