Fujino's simple connectedness conjecture for projective quasi-log canonical pairs
Fujino's simple connectedness conjecture for projective quasi-log canonical pairs
Let be a projective quasi-log canonical pair such that is ample.
Fujino's simple connectedness conjecture. 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.
Sources & referencesView supporting material
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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