Abstract
In his article [1] János Kollár has published a counterexample to the main result Theorem~1 of the paper [2].
The critical point is that in general the positive curvature current of the singular hermitian metric on the constructed holomorphic line bundle does not have vanishing Lelong numbers (cf. Theorem 4 and Theorem 5) as claimed. Consequently the quasi-projectivity criterion of the paper cannot be applied.
Citation
Georg Schumacher. Hajime Tsuji. "Retraction: "Quasi-projectivity of moduli spaces of polarized varieties"." Ann. of Math. (2) 198 (3) 1305 - 1305, November 2023. https://doi.org/10.4007/annals.2023.198.3.7
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