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A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space

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arxiv 1207.4980 v1 pith:2QAOITWT submitted 2012-07-20 math.AG

Emanuele Macrì This is my paper · ORCID
classification math.AG
keywords inequalityprojectivebogomolov-giesekergeneralizedholdsspacethree-dimensionaltrue
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A generalized Bogomolov-Gieseker inequality for tilt-stable complexes on a smooth projective threefold was conjectured by Bayer, Toda, and the author. We show that such inequality holds true in general, if it holds true when the polarization is sufficiently small. As an application, we prove it for the three-dimensional projective space.

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  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 ≲.

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