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arXiv · 1106.3430

Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture

Arend Bayer·Aaron Bertram·Emanuele Macri·Yukinobu Toda
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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.

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Arend Bayer, Aaron Bertram, Emanuele Macri, Yukinobu Toda. 2013-07-15. Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture. https://arxiv.org/abs/1106.3430

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