Arend Bayer, Aaron Bertram, Emanuele Macri, Yukinobu Toda
Published 2011-06-17, updated 2013-07-15Version 2
We apply a conjectured inequality on third chern classes of stable two-term complexes on threefolds to Fujita's conjecture. More precisely, the inequality is shown to imply a Reider-type theorem in dimension three which in turn implies that K_X + 6L is very ample when L is ample, and that 5L is very ample when K_X is trivial.
Comments: 17 pages. v2: exposition improved based on referee's comments. To appear in Journal of Algebraic Geometry
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