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In this note, we correct an oversight from the paper mentioned in the title.

Number Theory · Mathematics 2011-12-15 José María Grau , Florian Luca

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.

Algebraic Geometry · Mathematics 2016-04-20 Tommaso de Fernex

This is a correction to the afore-mentioned paper in Duke Math. J. vol. 75 (1994), 99-119 by S. Keel, K. Matsuki, and J. McKernan. We completely rewrite Chapter 6 according to the original manuscript of the second author, in order to fix…

Algebraic Geometry · Mathematics 2007-05-23 Kenji Matsuki

This manuscript, a revised version of arXiv:0811.3168v1, was inadvertently submitted as a separate paper. It can now be accessed, including some final corrections for the published version, as arXiv:0811.3168v2.

Disordered Systems and Neural Networks · Physics 2009-11-13 Alessia Annibale , Peter Sollich

We correct the proof of Theorem 4.1 from [C. R. Math. Acad. Sci. Soc. R. Can. \textbf{44} (2022), no. 4, 88--112].

Operator Algebras · Mathematics 2024-03-29 Chris Bruce , Charles Starling

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.

Functional Analysis · Mathematics 2011-02-14 Thabet Abdeljawad , Erdal Karapınar

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

In this note we improve the parameter $q$ that appears in Theorem 1 obtained by the author in [Math. Ineq. \& appl., Vol 19 (3) (2016), 1013-1030].

Classical Analysis and ODEs · Mathematics 2025-12-22 Pablo Rocha

We correct a mistake in the paper "On the cuspidal cohomology of $S$-arithmetic subgroups of reductive groups over number fields " by A. Borel, J.-P. Labesse, J. Schwermer that appeared in Compositio Mathematica, 102 (1996), 1-40.

Group Theory · Mathematics 2020-11-13 Jean-Pierre Labesse , Joachim Schwermer

We correct a mistake in the paper ["On weighted iterated Hardy-type inequalities", Positivity, 22 (1) (2018), 275-299]. -- In this paper the inequality $$ \bigg( \int_0^{\infty} \bigg( \int_x^{\infty} \bigg( \int_t^{\infty} h \bigg)^q…

Functional Analysis · Mathematics 2022-05-24 Rza Mustafayev

There is a mathematical error in the first version of this paper. A new corrected version will be posted when the error is fixed, possibly with a modified title.

Probability · Mathematics 2009-01-07 Carl Graham

It is shown that a recent article by Z.-D. Zhang [arXiv:0705.1045] is in error and violates well-known theorems.

Statistical Mechanics · Physics 2011-09-14 Jacques H. H. Perk

The content of this paper is now available as part of arXiv:0802.2019

Quantum Physics · Physics 2008-02-15 Cosmo Lupo

An error in the author's paper (Functiones et Approximatio, 37 . pp. 203-211) is corrected.

Number Theory · Mathematics 2010-09-24 D. R. Heath-Brown

This is a corrigendum of Lemma 9.1 of the paper [FOOO3] in the title. This lemma is not correct as pointed out by A. Daemi and a referee of the paper [DF]. The corrigendum does not affect the applications of this lemma in [FOOO3] and other…

Symplectic Geometry · Mathematics 2024-04-01 Kenji Fukaya , Yong-Geun Oh , Hiroshi Ohta , Kaoru Ono

We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

We correct a mistake in the paper with the mentioned title and reference: Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. It corresponds with the preprint arXiv:1712.04727.

Differential Geometry · Mathematics 2020-04-06 Antonio Alarcon , Ildefonso Castro-Infantes , Francisco J. Lopez

We correct one erroneous statement made in our recent paper "Medial axis and singularities".

Metric Geometry · Mathematics 2017-06-08 Lev Birbrair , Maciej P. Denkowski

Some mathematical errors of the paper commented upon [W.-M. Suen, Phys. Rev. D 40, (1989) 315] are corrected.

General Relativity and Quantum Cosmology · Physics 2009-11-07 H. -J. Schmidt

This is a list of corrections for the book: J. Noguchi and T. Ochiai, Geometric Function Theory in Several Complex Variables, xi + 282 pp., Math.\ Monographs Vol.\ {\bf 80}, Amer.\ Math.\ Soc., Providence, 1990. The authors hope that this…

Complex Variables · Mathematics 2009-09-25 J. Noguchi , T. Ochiai