Abstract
In this chapter we reformulate the obtained functoriality for our resolution and apply this to obtain resolution of singularities for (two-dimensional) locally noetherian excellent schemes, algebraic spaces and algebraic stacks.
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References
M. Temkin, Desingularization of quasi-excellent schemes of characteristic zero. Adv. Math. 219, 488–522 (2008)
M. Temkin, Functorial desingularization of quasi-excellent schemes in characteristic zero: the non-embedded case. Duke J. Math. 161, 2208–2254 (2012)
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Cossart, V., Jannsen, U., Saito, S. (2020). Functoriality, Locally Noetherian Schemes, Algebraic Spaces and Stacks. In: Desingularization: Invariants and Strategy. Lecture Notes in Mathematics, vol 2270. Springer, Cham. https://doi.org/10.1007/978-3-030-52640-5_17
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DOI: https://doi.org/10.1007/978-3-030-52640-5_17
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