Abstract
It will be shown that a smoothable Cohen-Macaulay variety over a field of characteristic zero is smooth if and only if its canonical sheaf is torsion free.
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Arapura, D. Smoothable varieties with torsion free canonical sheaf. Manuscripta Math 63, 17–20 (1989). https://doi.org/10.1007/BF01173698
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DOI: https://doi.org/10.1007/BF01173698