Subadjunction for Quasi-Log Canonical Pairs and Its Applications

  • Osamu Fujino

    Kyoto University, Japan
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Abstract

We establish a kind of subadjunction formula for quasi-log canonical pairs. As an application, we prove that a connected projective quasi-log canonical pair whose quasi-log canonical class is anti-ample is simply connected and rationally chain connected. We also supplement the cone theorem for quasi-log canonical pairs. More precisely, we prove that every negative extremal ray is spanned by a rational curve. Finally, we treat the notion of Mori hyperbolicity for quasi-log canonical pairs.

Cite this article

Osamu Fujino, Subadjunction for Quasi-Log Canonical Pairs and Its Applications. Publ. Res. Inst. Math. Sci. 58 (2022), no. 4, pp. 669–691

DOI 10.4171/PRIMS/58-4-1