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Bridgeland stability conditions on the category of holomorphic triples over curves

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arxiv 1905.04240 v2 pith:35MGZBZP submitted 2019-05-10 math.AG

Eva Martínez-Romero , Alejandra Rincón-Hidalgo , Arne Rüffer This is my paper · ORCID
classification math.AG
keywords bridgelandcategoryholomorphicmanifoldstabilitytriplesboundedcomplete
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We give a complete description of the Bridgeland stability manifold for the bounded derived category of holomorphic triples over a smooth projective curve of genus 1 as a connected, four dimensional complex manifold.

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Cited by 2 Pith papers

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  1. Derived category of coherent systems on curves and stability conditions

    math.AG 2025-11 conditional novelty 8.0 of 10

    For a smooth curve C, an open locus of Bridgeland stability conditions on coherent systems is classified as gluing or tilting, with boundary governed by the Brill-Noether function.

  2. The deformed Vortex equations and equivariant stability conditions

    math.DG 2026-07 conditional novelty 7.0 of 10

    On vortex-type SU(2)-equivariant bundles over a product of a curve with P¹, solvability of the deformed Hermitian–Yang–Mills system is equivalent to Z-stability, and Bridgeland stability implies Z-stability.

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