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

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arxiv 1106.3430 v2 pith:LBPLTKIZ submitted 2011-06-17 math.AG

Arend Bayer , Aaron Bertram , Emanuele Macri , Yukinobu Toda This is my paper · ORCID
classification math.AG
keywords ampleconjecturefujitainequalitythreefoldsverywhenapplication
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Real Reduction of the Manifold of Bridgeland Stability Conditions

    math.AG 2025-06 accept novelty 7.0 of 10

    A quotient of the stability manifold by an equivalence relation is a real manifold of half dimension, and the original manifold can be reconstructed from the quotient together with the relation ≲.

  2. Modular variants of p-adic fundamental sequence

    math.NT 2026-06 unverdicted novelty 5.0 of 10

    Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).

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