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On Kähler–Einstein fake weighted projective spaces

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Abstract

We show that if a fake weighted projective space admits a Kähler–Einstein metric, then it is of type \(B_\infty \).

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Acknowledgements

The authors would like to thank the referee for helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Ajou University, Suwon, 16499, Republic of Korea

    DongSeon Hwang & YoungHan Yoon

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  1. DongSeon Hwang
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  2. YoungHan Yoon
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Correspondence to DongSeon Hwang.

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This research was supported by the Samsung Science and Technology Foundation under Project SSTF-BA1602-03.

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Hwang, D., Yoon, Y. On Kähler–Einstein fake weighted projective spaces. European Journal of Mathematics 8, 985–990 (2022). https://doi.org/10.1007/s40879-021-00468-7

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  • DOI: https://doi.org/10.1007/s40879-021-00468-7

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