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

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

2011-06-17

arxiv.org/abs/1106.3430v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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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