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Mathematics, Algebraic Geometry
Abstract:
A simple birational map is a K-equivalent birational map which is resolved by a single
blowing-up. Examples of such maps include standard flops and twisted Mukai flops. In this
paper, we give a criterion for a simple birational map to be a standard flop or a twisted Mukai
flop. As an application, we classify all simple birational maps up to dimension 5.