Geodesic
Families of stable 3-folds in positive characteristic
Épijournal de Géométrie Algébrique, Tome 7 (2023)

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We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal. 
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     author = {Koll\'ar, J\'anos},
     title = {Families of stable 3-folds in positive characteristic},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {7},
     year = {2023},
     doi = {10.46298/epiga.2023.volume7.9730},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2023.volume7.9730/}
}
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Kollár, János. Families of stable 3-folds in positive characteristic. Épijournal de Géométrie Algébrique, Tome 7 (2023). doi: 10.46298/epiga.2023.volume7.9730

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