Erratum to: Birationally rigid hypersurfaces
Tommaso de Fernex

TL;DR
This paper addresses a gap in a previous proof regarding birationally rigid hypersurfaces and offers a new proof to establish the main theorem's validity.
Contribution
It identifies a flaw in prior work and provides a corrected, rigorous proof of the main theorem on birationally rigid hypersurfaces.
Findings
The original proof had a gap that is now addressed.
A new, complete proof of the main theorem is provided.
The corrected proof confirms the theorem's validity.
Abstract
This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.
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