Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture
Algebraic Geometry
2013-07-16 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1106.3430,
title = {Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture},
author = {Arend Bayer and Aaron Bertram and Emanuele Macri and Yukinobu Toda},
journal= {arXiv preprint arXiv:1106.3430},
year = {2013}
}
Comments
17 pages. v2: exposition improved based on referee's comments. To appear in Journal of Algebraic Geometry