% Bibliography for "Stability conditions on twisted derived categories of smooth projective varieties"
% Existing citation keys are deliberately preserved.
% Entries for preprints refer to the versions used by the manuscript.
% The journal/book metadata is retained together with accessible arXiv or DOI links.

@article{AGH,
  author       = {Antieau, Benjamin and Gepner, David and Heller, Jeremiah},
  title        = {{K}-theoretic obstructions to bounded {$t$}-structures},
  journal      = {Invent. Math.},
  volume       = {216},
  number       = {1},
  pages        = {241--300},
  year         = {2019},
  doi          = {10.1007/s00222-018-00847-0},
  eprint       = {1610.07207},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1610.07207v4}{arXiv:1610.07207v4}}
}

@article{Bri,
  author       = {Bridgeland, Tom},
  title        = {Stability conditions on triangulated categories},
  journal      = {Ann. of Math. (2)},
  volume       = {166},
  number       = {2},
  pages        = {317--345},
  year         = {2007},
  doi          = {10.4007/annals.2007.166.317},
  eprint       = {math/0212237},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0212237v3}{arXiv:math/0212237v3}}
}

@misc{Cheng,
  author       = {Cheng, Yiran},
  title        = {A remark on the full support property},
  year         = {2026},
  eprint       = {2608.14540},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2608.14540v1}{arXiv:2608.14540v1}}
}

@misc{Li,
  author       = {Li, Chunyi},
  title        = {A remark on stability conditions on smooth projective varieties},
  year         = {2026},
  eprint       = {2601.22994},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2601.22994v1}{arXiv:2601.22994v1}}
}

@misc{LLLMPSZ,
  author       = {Li, Chunyi and Liu, Zhiyu and Liu, Ziqi and Macr{\`i}, Emanuele and Perry, Alexander and Stellari, Paolo and Zhao, Xiaolei},
  title        = {Stability conditions and moduli spaces on projective families},
  year         = {2026},
  eprint       = {2607.28411},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2607.28411v1}{arXiv:2607.28411v1}}
}

@unpublished{HA,
  author       = {Lurie, Jacob},
  title        = {Higher Algebra},
  note         = {Manuscript, \url{https://www.math.ias.edu/~lurie/papers/HA.pdf}}
}

@article{Krah,
  author       = {Krah, Johannes},
  title        = {A phantom on a rational surface},
  journal      = {Invent. Math.},
  volume       = {235},
  pages        = {1009--1018},
  year         = {2024},
  doi          = {10.1007/s00222-023-01234-0},
  eprint       = {2304.01269},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/2304.01269v2}{arXiv:2304.01269v2}}
}

@article{KuznetsovHyperplane,
  author  = {Kuznetsov, Alexander G.},
  title   = {Hyperplane Sections and Derived Categories},
  journal = {Izvestiya: Mathematics},
  volume  = {70},
  number  = {3},
  pages   = {447--547},
  year    = {2006},
  doi     = {10.1070/IM2006v070n03ABEH002318},
  url     = {https://arxiv.org/abs/math/0503700}
}

@misc{Stacks,
  author = {{The Stacks Project Authors}},
  title        = {Stacks Project},
  howpublished = {\url{https://stacks.math.columbia.edu/}}
}

@misc{HLR,
  author       = {Halpern-Leistner, Daniel and Robotis, Antonios-Alexandros},
  title        = {The space of augmented stability conditions},
  year         = {2025},
  eprint       = {2501.00710},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2501.00710v2}{arXiv:2501.00710v2}},
  note         = {Version 2, May 31, 2026}
}

@article{BLMNPS,
  author       = {Bayer, Arend and Lahoz, Mart{\'i} and Macr{\`i}, Emanuele and Nuer, Howard and Perry, Alexander and Stellari, Paolo},
  title        = {Stability conditions in families},
  journal      = {Publ. Math. Inst. Hautes {\'E}tudes Sci.},
  volume       = {133},
  pages        = {157--325},
  year         = {2021},
  doi          = {10.1007/s10240-021-00124-6},
  eprint       = {1902.08184},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1902.08184v4}{arXiv:1902.08184v4}; theorem numbering follows this version}
}

@article{BerghSchnuerer,
  author       = {Bergh, Daniel and Schn{\"u}rer, Olaf M.},
  title        = {Decompositions of derived categories of gerbes and of families of {Brauer--Severi} varieties},
  journal      = {Doc. Math.},
  volume       = {26},
  pages        = {1465--1500},
  year         = {2021},
  doi          = {10.4171/DM/846},
  eprint       = {1901.08945},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1901.08945v2}{arXiv:1901.08945v2}}
}

@misc{HLRMass,
  author       = {Halpern-Leistner, Daniel and Robotis, Antonios-Alexandros},
  title        = {Properties of deformed mass and phase functions},
  year         = {2026},
  eprint       = {2606.00396},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2606.00396v1}{arXiv:2606.00396v1}}
}

@article{Douglas01,
  author       = {Douglas, Michael R.},
  title        = {{D}-branes, categories and {$\mathcal{N}=1$} supersymmetry},
  journal      = {J. Math. Phys.},
  volume       = {42},
  number       = {7},
  pages        = {2818--2843},
  year         = {2001},
  doi          = {10.1063/1.1374448},
  eprint       = {hep-th/0011017},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/hep-th/0011017}{arXiv:hep-th/0011017}}
}

@inproceedings{Douglas02,
  author       = {Douglas, Michael R.},
  title        = {Dirichlet branes, homological mirror symmetry, and stability},
  booktitle    = {Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol.~{III} ({B}eijing, 2002)},
  pages        = {395--408},
  publisher    = {Higher Ed. Press, Beijing},
  year         = {2002},
  eprint       = {math/0207021},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0207021}{arXiv:math/0207021}}
}

@article{Macri07,
  author       = {Macr{\`i}, Emanuele},
  title        = {Stability conditions on curves},
  journal      = {Math. Res. Lett.},
  volume       = {14},
  number       = {4},
  pages        = {657--672},
  year         = {2007},
  doi          = {10.4310/MRL.2007.v14.n4.a10},
  eprint       = {math/0409187},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0409187}{arXiv:math/0409187}}
}

@article{BriK3,
  author       = {Bridgeland, Tom},
  title        = {Stability conditions on {K3} surfaces},
  journal      = {Duke Math. J.},
  volume       = {141},
  number       = {2},
  pages        = {241--291},
  year         = {2008},
  doi          = {10.1215/S0012-7094-08-14122-5},
  eprint       = {math/0307164},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0307164}{arXiv:math/0307164}}
}

@article{AB13,
  author       = {Arcara, Daniele and Bertram, Aaron},
  title        = {Bridgeland-stable moduli spaces for {$K$}-trivial surfaces},
  journal      = {J. Eur. Math. Soc. (JEMS)},
  volume       = {15},
  number       = {1},
  pages        = {1--38},
  year         = {2013},
  doi          = {10.4171/JEMS/354},
  eprint       = {0708.2247},
  archivePrefix = {arXiv},
  note         = {With an appendix by Max Lieblich; \href{https://arxiv.org/abs/0708.2247}{arXiv:0708.2247}}
}

@article{BM14,
  author       = {Bayer, Arend and Macr{\`i}, Emanuele},
  title        = {Projectivity and birational geometry of {Bridgeland} moduli spaces},
  journal      = {J. Amer. Math. Soc.},
  volume       = {27},
  number       = {3},
  pages        = {707--752},
  year         = {2014},
  doi          = {10.1090/S0894-0347-2014-00790-6},
  eprint       = {1203.4613},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1203.4613}{arXiv:1203.4613}}
}

@article{BMT14,
  author       = {Bayer, Arend and Macr{\`i}, Emanuele and Toda, Yukinobu},
  title        = {Bridgeland stability conditions on threefolds {I}: {Bogomolov--Gieseker} type inequalities},
  journal      = {J. Algebraic Geom.},
  volume       = {23},
  number       = {1},
  pages        = {117--163},
  year         = {2014},
  doi          = {10.1090/S1056-3911-2013-00617-7},
  eprint       = {1103.5010},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1103.5010}{arXiv:1103.5010}}
}

@article{Macri14,
  author       = {Macr{\`i}, Emanuele},
  title        = {A generalized {Bogomolov--Gieseker} inequality for the three-dimensional projective space},
  journal      = {Algebra Number Theory},
  volume       = {8},
  number       = {1},
  pages        = {173--190},
  year         = {2014},
  doi          = {10.2140/ant.2014.8.173},
  eprint       = {1207.4980},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1207.4980}{arXiv:1207.4980}}
}

@article{Schmidt14,
  author       = {Schmidt, Benjamin},
  title        = {A generalized {Bogomolov--Gieseker} inequality for the smooth quadric threefold},
  journal      = {Bull. Lond. Math. Soc.},
  volume       = {46},
  number       = {5},
  pages        = {915--923},
  year         = {2014},
  doi          = {10.1112/blms/bdu048},
  eprint       = {1309.4265},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1309.4265}{arXiv:1309.4265}}
}

@article{BMS16,
  author       = {Bayer, Arend and Macr{\`i}, Emanuele and Stellari, Paolo},
  title        = {The space of stability conditions on abelian threefolds, and on some {Calabi--Yau} threefolds},
  journal      = {Invent. Math.},
  volume       = {206},
  number       = {3},
  pages        = {869--933},
  year         = {2016},
  doi          = {10.1007/s00222-016-0665-5},
  eprint       = {1410.1585},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1410.1585}{arXiv:1410.1585}}
}

@article{PT19,
  author       = {Piyaratne, Dulip and Toda, Yukinobu},
  title        = {Moduli of {Bridgeland} semistable objects on 3-folds and {Donaldson--Thomas} invariants},
  journal      = {J. Reine Angew. Math.},
  volume       = {747},
  pages        = {175--219},
  year         = {2019},
  doi          = {10.1515/crelle-2016-0006},
  eprint       = {1504.01177},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1504.01177}{arXiv:1504.01177}}
}

@article{LiFano19,
  author       = {Li, Chunyi},
  title        = {Stability conditions on {Fano} threefolds of {Picard} number 1},
  journal      = {J. Eur. Math. Soc. (JEMS)},
  volume       = {21},
  number       = {3},
  pages        = {709--726},
  year         = {2019},
  doi          = {10.4171/JEMS/848},
  eprint       = {1510.04089},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1510.04089}{arXiv:1510.04089}}
}

@article{LiQuintic19,
  author       = {Li, Chunyi},
  title        = {On stability conditions for the quintic threefold},
  journal      = {Invent. Math.},
  volume       = {218},
  number       = {1},
  pages        = {301--340},
  year         = {2019},
  doi          = {10.1007/s00222-019-00888-z},
  eprint       = {1810.03434},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1810.03434}{arXiv:1810.03434}}
}

@article{Koseki22,
  author       = {Koseki, Naoki},
  title        = {Stability conditions on {Calabi--Yau} double/triple solids},
  journal      = {Forum Math. Sigma},
  volume       = {10},
  pages        = {Paper No. e63, 34 pp.},
  year         = {2022},
  doi          = {10.1017/fms.2022.58},
  eprint       = {2007.00044},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/2007.00044}{arXiv:2007.00044}}
}

@misc{FKLR25,
  author       = {Feyzbakhsh, Soheyla and Koseki, Naoki and Liu, Zhiyu and Rekuski, Nick},
  title        = {Stability conditions on {Calabi--Yau} threefolds via {Brill--Noether} theory of curves},
  year         = {2025},
  eprint       = {2509.24990},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2509.24990}{arXiv:2509.24990}}
}

@article{Liu21,
  author       = {Liu, Yucheng},
  title        = {Stability conditions on product varieties},
  journal      = {J. Reine Angew. Math.},
  volume       = {770},
  pages        = {135--157},
  year         = {2021},
  doi          = {10.1515/crelle-2020-0010},
  eprint       = {1907.09326},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1907.09326}{arXiv:1907.09326}}
}

@phdthesis{Caldararu00,
  author       = {C{\u a}ld{\u a}raru, Andrei H.},
  title        = {Derived categories of twisted sheaves on {Calabi--Yau} manifolds},
  school       = {Cornell University},
  year         = {2000}
}

@incollection{HS06,
  author       = {Huybrechts, Daniel and Stellari, Paolo},
  title        = {Proof of {C\u ald\u araru's} conjecture},
  booktitle    = {Moduli spaces and arithmetic geometry},
  series       = {Adv. Stud. Pure Math.},
  volume       = {45},
  pages        = {31--42},
  publisher    = {Math. Soc. Japan, Tokyo},
  year         = {2006},
  eprint       = {math/0411541},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0411541}{arXiv:math/0411541}}
}

@incollection{Yoshioka06,
  author       = {Yoshioka, K{\=o}ta},
  title        = {Moduli spaces of twisted sheaves on a projective variety},
  booktitle    = {Moduli spaces and arithmetic geometry},
  series       = {Adv. Stud. Pure Math.},
  volume       = {45},
  pages        = {1--30},
  publisher    = {Math. Soc. Japan, Tokyo},
  year         = {2006},
  eprint       = {math/0411538},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0411538}{arXiv:math/0411538}}
}

@article{Lieblich07,
  author       = {Lieblich, Max},
  title        = {Moduli of twisted sheaves},
  journal      = {Duke Math. J.},
  volume       = {138},
  number       = {1},
  pages        = {23--118},
  year         = {2007},
  doi          = {10.1215/S0012-7094-07-13812-2},
  eprint       = {math/0411337},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0411337}{arXiv:math/0411337}}
}

@misc{HP24,
  author       = {Hotchkiss, James and Perry, Alexander},
  title        = {The period--index conjecture for abelian threefolds and {Donaldson--Thomas} theory},
  year         = {2024},
  eprint       = {2405.03315},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  howpublished = {\href{https://arxiv.org/abs/2405.03315}{arXiv:2405.03315}}
}

@article{BLMS23,
  author       = {Bayer, Arend and Lahoz, Mart{\'i} and Macr{\`i}, Emanuele and Stellari, Paolo},
  title        = {Stability conditions on {Kuznetsov} components},
  journal      = {Ann. Sci. {\'E}c. Norm. Sup{\'e}r. (4)},
  volume       = {56},
  number       = {2},
  pages        = {517--570},
  year         = {2023},
  doi          = {10.24033/asens.2539},
  eprint       = {1703.10839},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1703.10839}{arXiv:1703.10839}}
}

@article{PPZ22,
  author       = {Perry, Alexander and Pertusi, Laura and Zhao, Xiaolei},
  title        = {Stability conditions and moduli spaces for {Kuznetsov} components of {Gushel--Mukai} varieties},
  journal      = {Geom. Topol.},
  volume       = {26},
  number       = {7},
  pages        = {3055--3121},
  year         = {2022},
  doi          = {10.2140/gt.2022.26.3055},
  eprint       = {1912.06935},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/1912.06935}{arXiv:1912.06935}}
}

@article{HMS08,
  author       = {Huybrechts, Daniel and Macr{\`i}, Emanuele and Stellari, Paolo},
  title        = {Stability conditions for generic {K3} categories},
  journal      = {Compos. Math.},
  volume       = {144},
  number       = {1},
  pages        = {134--162},
  year         = {2008},
  doi          = {10.1112/S0010437X07003065},
  eprint       = {math/0608430},
  archivePrefix = {arXiv},
  note         = {\href{https://arxiv.org/abs/math/0608430}{arXiv:math/0608430}}
}