Fujino's simple connectedness conjecture for projective quasi-log canonical pairs

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Let [X,ω][X,\omega] be a projective quasi-log canonical pair such that −ω-\omega is ample.

Fujino's simple connectedness conjecture. XX is simply connected.

This conjecture extends simple connectedness from Fano log pairs with log canonical singularities to the quasi-log canonical setting, which also includes semi-log canonical pairs and their slc strata. The paper's abstract states that the result is proved, so the conjecture is resolved.

References

Primary source

Osamu Fujino and Wenfei Liu, “Simple connectedness of Fano log pairs with semi-log canonical singularities”, arXiv:1712.03417 (2017).

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