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Simple connectedness of Fano log pairs with semi-log canonical singularities

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Abstract

We show that any union of slc strata of a Fano log pair with semi-log canonical singularities is simply connected. In particular, Fano log pairs with semi-log canonical singularities are simply connected, which confirms a conjecture of the first author.

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Acknowledgements

The first author was partially supported by JSPS KAKENHI Grant Numbers JP16H03925, JP16H06337. The second author was partially supported by the NSFC (No. 11501012, No. 11771294). The authors would like to thank Ms. Kimiko Tanaka for her supports.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Osamu Fujino

  2. School of Mathematical Sciences, Xiamen University, Siming, South Road 422, Xiamen, 361005, Fujian, People’s Republic of China

    Wenfei Liu

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  1. Osamu Fujino
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  2. Wenfei Liu
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Correspondence to Wenfei Liu.

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Fujino, O., Liu, W. Simple connectedness of Fano log pairs with semi-log canonical singularities. Math. Z. 295, 341–348 (2020). https://doi.org/10.1007/s00209-019-02347-0

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