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The paper presents a counterexample to the Hodge conjecture.

综合数学 · 数学 2020-07-28 Jorma Jormakka

We construct a counterexample to Theorem 2 of [Rafie-Rad M., Rezaei B., SIGMA 7 (2011), 085, 12 pages, arXiv:1108.6127].

微分几何 · 数学 2015-10-07 Vladimir S. Matveev

Provides a counterexample to a long standing conjecture of A. Adem regarding the behaviour of the integral cohomology of a p-group.

代数拓扑 · 数学 2007-05-23 Jonathan Pakianathan

This note contains a correction of the proofs of the main results of the paper [A. Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), 383-432]. The results are correct as originally stated.

代数几何 · 数学 2007-08-14 Amnon Yekutieli

Recent results of several authors have led to constructions of parallelotopes which are bounded remainder sets for totally irrational toral rotations. In this brief note we explain, in retrospect, how some of these results can easily be…

动力系统 · 数学 2016-02-02 Alan Haynes , Michael Kelly , Henna Koivusalo

In this short note we give counterexamples to several results related to extension theorems published recently.

泛函分析 · 数学 2013-03-19 Constantin Zalinescu

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

偏微分方程分析 · 数学 2023-11-21 Florian Oschmann

We prove some new results related to Tanaka's formula.

概率论 · 数学 2017-09-19 Gianluca Cassese

The article provides a counterexample to a conjecture by Blocki-Zwonek.

复变函数 · 数学 2015-07-20 John Erik Fornæss

We comment on some misunderstandings exhibited in a recent paper by Matolcsi et al. (Gen. Rel. Grav.39 413 (2007)).

数学物理 · 物理学 2007-07-03 L. Herrera

Final version in paper linked above.

微分几何 · 数学 2011-11-10 Michael T. Anderson

This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas

代数几何 · 数学 2022-04-20 Lucia Caporaso , Joe Harris , Barry Mazur

Question when rectangle can be tiled with similar copies of rectangles witch quetient of sides quadratic irrationalities. New proof of one part F. Sharov's theorem. Other close result.

组合数学 · 数学 2017-11-28 Pavel Ryabov

We give an explicit counterexample to an entanglement inequality suggested in a recent paper [quant-ph/0005126] by Benatti and Narnhofer. The inequality would have had far-reaching consequences, including the additivity of the entanglement…

量子物理 · 物理学 2007-05-23 R. F. Werner , K. G. H. Vollbrecht

A variation on the splitting principle

代数几何 · 数学 2016-09-06 Rahbar Virk

Some mistaken reasonings at the end of the paper omitted.

高能物理 - 理论 · 物理学 2009-10-22 F. A. Smirnov

This is an elementary note. It corrects a mistake in the reformulation of the Riemann Hypothesis in J. Havil's book Gamma: Exploring Euler's Constant.

数论 · 数学 2012-05-09 Jonathan Sondow

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

动力系统 · 数学 2024-04-16 Ali Taghavi

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

量子代数 · 数学 2007-05-23 Dmitry E. Tamarkin

A useful result about leftmost and rightmost paths in two dimensional bond percolation is proved. This result was introduced without proof in \cite{G} in the context of the contact process in continuous time. As discussed here, it also…

概率论 · 数学 2015-07-07 E. D. Andjel , L. F. Gray
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