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

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.

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).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.