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

2011/06/17 by Bayer, Arend, Bertram, Aaron, Macri, Emanuele +1 · 1 citation
#14C20 #14F05 (Primary) #14J30 #14J32 #18E30 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1106.3430

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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