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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

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

In the paper [Hong-Shi Zong, Wei-Min Sun, Phys. Lett. B 640 (2006) 196], the authors claim that our proof of the inconsistency of the ladder approximation to QCD [Phys. Lett. B 611 (2005) 129] was incorrect. However, their claim is based on…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. Gogokhia

This note is an erratum to the paper "Tautological classes on moduli spaces of hyper-K\"ahler manifolds." Thorsten Beckman and Mirko Mauri have pointed to us a gap in the proof of \cite[Theorem 8.2.1]{Duke}. We do not know how to correct…

Algebraic Geometry · Mathematics 2021-05-28 Nicolas Bergeron , Zhiyuan Li

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

Geometric Topology · Mathematics 2007-05-23 Jean-Marc Schlenker

S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked by errors in its mathematics, as well as improprieties in…

Geometric Topology · Mathematics 2026-05-22 Laurence Boxer

In this paper, we prove the abundance conjecture for threefolds over a perfect field $k$ of characteristic $p > 3$ in the case of numerical dimension equals to $2$. More precisely, we prove that if $(X,B)$ be a projective lc threefold pair…

Algebraic Geometry · Mathematics 2026-04-20 Zheng Xu

Our published paper contains an incorrect statement of a result due to Artin and Zhang. This corrigendum gives the correct statement of their result and includes a new result that allows us to use their result to prove our main theorem.…

Rings and Algebras · Mathematics 2012-01-24 Cody Holdaway , S. Paul Smith

It is a correction paper on "P.J. Wan and C.W. Yi, "Coverage by Randomly Deployed Wireless Sensor Networks", IEEE Transaction On Information Theory, vol.52, No.6, June 2006." In the above paper, Lemma (4), on page 2659 play the key role for…

Information Theory · Computer Science 2009-04-23 Bhupendra Gupta

We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).

Differential Geometry · Mathematics 2017-01-02 Boris Kruglikov , Henrik Winther

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

Combinatorics · Mathematics 2012-06-22 Øystein J. Rødseth

This paper has been withdrawn, not because of any errors (that we know of), but because rather than presenting our material as a series of 3 papers, as we originally intended, we have now combined them into one long paper, which is "A…

Algebraic Geometry · Mathematics 2009-06-02 Dominic Joyce , Yinan Song

This paper is a natural continuation of paper "On rectifiable spaces and its algebraical equivalents, topological algebraic systems and Mal'cev algebras" published in arxiv:1309.4572. Thus we justify the need to present the entire material…

Group Theory · Mathematics 2013-12-12 N. I. Sandu

This paper has been withdrawn by the author; a revised version is part of the author's phd-thesis "Quasi-logarithmic structures" (Zurich, 2007).

Combinatorics · Mathematics 2008-06-29 Bruno Nietlispach

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].

Probability · Mathematics 2007-05-23 S. Sethuraman

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Network Capability in Localizing Node Failures via End-to-end Path Measurements" by Liang Ma, Ting He, Ananthram Swami, Don Towsley, and Kin…

Networking and Internet Architecture · Computer Science 2020-12-29 Liang Ma , Ting He , Ananthram Swami , Don Towsley , Kin K. Leung

In this text we signal a serious gap in the proof of the main theorem of our paper and explain which parts of the statement remain valid. In fact, the main theorem remains valid unless possibly the variety does not admit…

Algebraic Geometry · Mathematics 2023-04-21 Frédéric Campana , Andreas Höring , Thomas Peternell

This note fills a gap in the article with title above [1]. We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.

High Energy Physics - Theory · Physics 2017-12-21 Joseph Ben Geloun , Vincent Rivasseau

In the paper [P. Achar, "On the equivariant $K$-theory of the nilpotent cone in the general linear group," Represent. Theory 8 (2004), 180-211], the author gave a combinatorial algorithm for computing the Lusztig-Vogan bijection for…

Representation Theory · Mathematics 2016-02-10 Pramod N. Achar

This paper has been withdrawn by the author due to an error in the computation of E(n,x) on page 6 which appears to be essential for the result. The author is currently trying to correct this proof

Probability · Mathematics 2007-05-23 Sebastien Blachere