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  author = {Bamler, Richard H. and Zhang, Qi S.},
  title = {Heat kernel and curvature bounds in {Ricci} flows with bounded scalar curvature},
  journal = {Advances in Mathematics},
  volume = {319},
  year = {2017},
  pages = {396--450},
  doi = {10.1016/j.aim.2017.08.025},
  url = {https://arxiv.org/abs/1501.01291},
  eprint = {1501.01291},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  note = {\href{https://arxiv.org/abs/1501.01291v3}{arXiv:1501.01291v3}}
}

@article{BamlerZhangII,
  author = {Bamler, Richard H. and Zhang, Qi S.},
  title = {Heat kernel and curvature bounds in {Ricci} flows with bounded scalar curvature---{Part II}},
  journal = {Calculus of Variations and Partial Differential Equations},
  volume = {58},
  number = {2},
  year = {2019},
  note = {Article 49, 14 pp.; \href{https://arxiv.org/abs/1506.03154v1}{arXiv:1506.03154v1}},
  doi = {10.1007/s00526-019-1484-5},
  url = {https://arxiv.org/abs/1506.03154},
  eprint = {1506.03154},
  archivePrefix = {arXiv},
  primaryClass = {math.DG}
}

@article{BamlerConvergence,
  author = {Bamler, Richard H.},
  title = {Convergence of {Ricci} flows with bounded scalar curvature},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {188},
  number = {3},
  year = {2018},
  pages = {753--831},
  doi = {10.4007/annals.2018.188.3.2},
  url = {https://annals.math.princeton.edu/2018/188-3/p02},
  note = {\href{https://doi.org/10.4007/annals.2018.188.3.2}{DOI}}
}

@article{SpeisseggerQA,
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  volume = {70},
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  year = {2018},
  pages = {218--240},
  doi = {10.4153/CJM-2016-048-x},
  url = {https://arxiv.org/abs/1606.02751},
  eprint = {1606.02751},
  archivePrefix = {arXiv},
  primaryClass = {math.CV},
  note = {\href{https://arxiv.org/abs/1606.02751v8}{arXiv:1606.02751v8}}
}

@article{GalalKaiserSpeissegger,
  author = {Galal, Zeinab and Kaiser, Tobias and Speissegger, Patrick},
  title = {{Ilyashenko} algebras based on transserial asymptotic expansions},
  journal = {Advances in Mathematics},
  volume = {367},
  year = {2020},
  note = {Article 107095; \href{https://arxiv.org/abs/1806.01732v2}{arXiv:1806.01732v2}},
  doi = {10.1016/j.aim.2020.107095},
  url = {https://arxiv.org/abs/1806.01732},
  eprint = {1806.01732},
  archivePrefix = {arXiv},
  primaryClass = {math.LO}
}

@article{DeTurckKazdan1981,
  author = {DeTurck, Dennis M. and Kazdan, Jerry L.},
  title = {Some regularity theorems in {Riemannian} geometry},
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@article{DeruelleOzuch2025,
 author={Deruelle, Alix and Ozuch, Tristan},
 title={A {{\L}ojasiewicz} inequality for {ALE} metrics},
 journal={Annali della Scuola Normale Superiore di Pisa, Classe di Scienze},
 series={5},volume={26},number={4},year={2025},pages={1965--2042},
 doi={10.2422/2036-2145.202309_029},
 url={https://journals.sns.it/index.php/annaliscienze/article/view/6142}
}

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 author={Haslhofer, Robert},
 title={A renormalized {Perelman}-functional and a lower bound for the {ADM}-mass},
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 volume={61},year={2011},pages={2162--2167},
 doi={10.1016/j.geomphys.2011.06.016},
 url={https://arxiv.org/abs/1101.1226v2}
}

@article{LockhartMcOwen1985,
 author={Lockhart, Robert B. and McOwen, Robert C.},
 title={Elliptic differential operators on noncompact manifolds},
 journal={Annali della Scuola Normale Superiore di Pisa, Classe di Scienze},
 series={4},volume={12},number={3},year={1985},pages={409--447},
 url={https://www.numdam.org/item/ASNSP_1985_4_12_3_409_0/}
}
@article{Biquard2011,
 author={Biquard, Olivier},
 title={D\'esingularisation de m\'etriques d'{Einstein}. {I}},
 journal={Inventiones Mathematicae},
 volume={192},year={2013},pages={197--252},
 doi={10.1007/s00222-012-0410-7},
 url={https://arxiv.org/abs/1105.4904v1},
 note={The cited proposition locator refers to \href{https://arxiv.org/abs/1105.4904v1}{arXiv:1105.4904v1}}
}
@article{Ozuch2022II,
 author={Ozuch, Tristan},
 title={Noncollapsed degeneration of {Einstein} 4-manifolds {II}},
 journal={Geometry \& Topology},volume={26},year={2022},pages={1529--1634},
 doi={10.2140/gt.2022.26.1529},
 url={https://arxiv.org/abs/1909.12960v2},
 note={The cited theorem locators refer to \href{https://arxiv.org/abs/1909.12960v2}{arXiv:1909.12960v2}}
}
@article{PerrucciRoy2017,
 author={Perrucci, Daniel and Roy, Marie-Fran\c{c}oise},
 title={Elementary recursive quantifier elimination based on {Thom} encoding and sign determination},
 journal={Annals of Pure and Applied Logic},volume={168},number={8},year={2017},pages={1588--1604},
 url={https://arxiv.org/abs/1609.02879v2},
 note={The cited theorem locators refer to \href{https://arxiv.org/abs/1609.02879v2}{arXiv:1609.02879v2}}
}

@misc{Ozuch2021Integrability,
 author={Ozuch, Tristan},
 title={Integrability of {Einstein} deformations and desingularizations},
 year={2021},
 howpublished={\href{https://arxiv.org/abs/2105.13193v1}{arXiv:2105.13193v1}},
 url={https://arxiv.org/abs/2105.13193v1}
}