Abstract
In this note, we prove that the symplectic blow-up or blow-down in the dimension 4 is rigid, i.e. the symplectic area of the divisor does not exceed the symplectic radius of the neighbourhood on which we do the blow-up or blow-down.
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Supported in part by the NSF of P. R. China and the Foundation of Chinese Educational Committee for Returned Scholars.
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Renyi, M. A remark on the symplectic blow-up in dimension 4. Acta Mathematica Sinica 12, 379–384 (1996). https://doi.org/10.1007/BF02106792
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DOI: https://doi.org/10.1007/BF02106792