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Symplectic Blowing Down in Dimension Six

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Abstract

We establish a blowing down criterion in the context of birational symplectic geometry in dimension 6.

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Acknowledgements

We thank Bob Gompf and Jianxun Hu for useful conversations. The first and second authors are grateful to the support of NSF, and the third author is grateful to the support of EPSRC during the preparation of the manuscript. We dedicate this paper to Professor Banghe Li on the occasion of his 80th birthday.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Tian-Jun Li

  2. Institute for Advanced Study in Mathematics, Zhejiang University Zijingang Campus, East No.7 Building, Hangzhou, 310058, P. R. China

    Yong Bin Ruan

  3. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    Wei Yi Zhang

Authors
  1. Tian-Jun Li
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  2. Yong Bin Ruan
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  3. Wei Yi Zhang
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Corresponding author

Correspondence to Tian-Jun Li.

Additional information

Dedicated to Professor Banghe Li on His 80th Birthday

Supported by NSF (Grant No. 1611680) and EPSRC (Grant No. N00260/1)

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Li, TJ., Ruan, Y.B. & Zhang, W.Y. Symplectic Blowing Down in Dimension Six. Acta. Math. Sin.-English Ser. 38, 1831–1855 (2022). https://doi.org/10.1007/s10114-022-2279-8

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  • DOI: https://doi.org/10.1007/s10114-022-2279-8

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