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Some examples of spaces of stability conditions on derived categories

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arxiv math/0411613 v3 pith:JOA6XOKS submitted 2004-11-27 math.AG math.CT

Emanuele Macri This is my paper · ORCID
classification math.AGmath.CT
keywords stabilityprojectivecategoriesconditionsderivedmanifoldsomespaces
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We study stability conditions on the derived categories of coherent sheaves on some projective varieties. We give a complete description of the stability manifold for smooth projective curves and we examine a connected open subset of the stability manifold for projective spaces and del Pezzo surfaces.

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  1. K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line

    math.AG 2026-08 conditional novelty 6.0 of 10

    In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.

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