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

Arend Bayer, Aaron Bertram, Emanuele Macri, Yukinobu Toda

Number 9
Author Dr. Emanuele Macrì
Year 2011

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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