On certain K-equivalent birational maps

Li, Duo

doi:10.1007/s00209-018-2169-z

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On certain K-equivalent birational maps

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Li, Duo
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00209-018-2169-z
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arXiv:1701.04054.pdf
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Citation

Li, D. (2019). On certain K-equivalent birational maps. Mathematische Zeitschrift, 291(3-4), 959-969. doi:10.1007/s00209-018-2169-z.

Cite as: https://hdl.handle.net/21.11116/0000-0004-F719-A

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.