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arXiv · 1509.07268

Effective basepoint-free theorem for semi-log canonical surfaces

Osamu Fujino
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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.

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Osamu Fujino. 2015-09-24. Effective basepoint-free theorem for semi-log canonical surfaces. https://arxiv.org/abs/1509.07268

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