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

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.

17 pages. v2: exposition improved based on referee's comments. To appear in Journal of Algebraic Geometry

References in corpus (3)

• A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
• Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
• Reider's Theorem and Thaddeus Pairs Revisited

Cited by in corpus (6)

• A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
• A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold
• Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
• The Space of Stability Conditions on Abelian Threefolds, and on some Calabi-Yau Threefolds
• Bridgeland Moduli spaces for Gushel-Mukai threefolds and Kuznetsov's Fano threefold conjecture
• Quintic periods and stability conditions via homological mirror symmetry