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1. Introduction
Outline of the article
Acknowledgement
2. Bridgeland stability conditions
2.1. Bridgeland stability conditions on surfaces
2.2. Logarithm Todd class
2.3. The Mukai pairing
2.4. Central charge in terms of the Mukai pairing
2.5. Bertram's nested wall theorem
2.6. From (s, t)-model to (s, q)-model
2.7. Duality induced by derived dual
3. Bayer–Macrì's nef line bundle theory
3.1. The local Bayer-Macrì map
3.2. The global Bayer–Macrì map
4. Bayer–Macrì decomposition
4.1. Preliminary computation by using Z
4.2. The local Bayer–Macrì decomposition
4.3. The global Bayer–Macrì decomposition
5. A toy model: fibered surface over P1 with a global section
Appendix A. Twisted Gieseker stability and the large-volume limit
Appendix B. Bayer–Macrì decomposition on K3 surfaces by using ,
References
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