Effective basepoint-free theorem for semi-log canonical surfaces

Published 24 Sep 2015 in math.AG | (1509.07268v4)

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.

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Osamu Fujino

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