Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II

DOI10.1142/S0129167X16500075zbMath1360.14064arXiv1310.0299MaRDI QIDQ2790326

Antony Maciocia, Dulip Piyaratne

Publication date: 3 March 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0299

zbMATH Keywords

Fourier-Mukai transformsBridgeland stability conditionBogomolov-Gieseker inequalityabelian threefolds

Mathematics Subject Classification ID

Related Items (17)

Stability condition on Calabi–Yau threefold of complete intersection of quadratic and quartic hypersurfaces ⋮ Stability manifolds of varieties with finite Albanese morphisms ⋮ Rank 𝑟 DT theory from rank 1 ⋮ Stability conditions on Calabi-Yau double/triple solids ⋮ The unreasonable effectiveness of wall-crossing in algebraic geometry ⋮ Categorical Torelli theorems: results and open problems ⋮ Lectures on Bridgeland Stability ⋮ Moduli of Bridgeland semistable objects on 3-folds and Donaldson-Thomas invariants ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Stability conditions in families ⋮ Bridgeland stability on threefolds: Some wall crossings ⋮ Bridgeland stability on blow ups and counterexamples ⋮ Stability conditions on threefolds with nef tangent bundles ⋮ Zero rank asymptotic Bridgeland stability ⋮ THE EFFECTIVE CONE OF MODULI SPACES OF SHEAVES ON A SMOOTH QUADRIC SURFACE ⋮ Fourier-Mukai transforms of slope stable torsion-free sheaves on a product elliptic threefold ⋮ Donaldson–Thomas invariants of abelian threefolds and Bridgeland stability conditions

Cites Work

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• Semi-homogeneous sheaves, Fourier–Mukai transforms and moduli of stable sheaves on abelian surfaces
• Introduction and open problems of Donaldson–Thomas theory
• Introduction to stability conditions
• Some Moduli Spaces of Bridgeland’s Stability Conditions
• Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds
• Derived categories of coherent sheaves on Abelian varieties and equivalences between them

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