Effective basepoint-free theorem for semi-log canonical surfaces
Algebraic Geometry
2017-01-26 v4
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.
Keywords
Cite
@article{arxiv.1509.07268,
title = {Effective basepoint-free theorem for semi-log canonical surfaces},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:1509.07268},
year = {2017}
}
Comments
15 pages, v2: Section 7 is new, v3: minor modifications, v4: revision following referee's comments. arXiv admin note: text overlap with arXiv:1401.4332; text overlap with arXiv:1601.01028 by other authors