Effective Basepoint-Free Theorem for Semi-Log Canonical Surfaces
Osamu Fujino
Osaka University, Japan
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Abstract
This paper proposes a Fujita-type freeness conjecture for semi-log canonical pairs. We prove it for curves and surfaces by using the theory of quasi-log schemes and give some effective very ampleness results for stable surfaces and semi-log canonical Fano surfaces. We also prove an effective freeness for log surfaces.
Cite this article
Osamu Fujino, Effective Basepoint-Free Theorem for Semi-Log Canonical Surfaces. Publ. Res. Inst. Math. Sci. 53 (2017), no. 3, pp. 349–370
DOI 10.4171/PRIMS/53-3-1