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The paper presents a counterexample to the Hodge conjecture.

General Mathematics · Mathematics 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].

Differential Geometry · Mathematics 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.

Algebraic Topology · Mathematics 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.

Algebraic Geometry · Mathematics 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…

Dynamical Systems · Mathematics 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.

Functional Analysis · Mathematics 2013-03-19 Constantin Zalinescu

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

Analysis of PDEs · Mathematics 2023-11-21 Florian Oschmann

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

Probability · Mathematics 2017-09-19 Gianluca Cassese

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

Complex Variables · Mathematics 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)).

Mathematical Physics · Physics 2007-07-03 L. Herrera

Final version in paper linked above.

Differential Geometry · Mathematics 2011-11-10 Michael T. Anderson

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

Algebraic Geometry · Mathematics 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.

Combinatorics · Mathematics 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…

Quantum Physics · Physics 2007-05-23 R. F. Werner , K. G. H. Vollbrecht

A variation on the splitting principle

Algebraic Geometry · Mathematics 2016-09-06 Rahbar Virk

Some mistaken reasonings at the end of the paper omitted.

High Energy Physics - Theory · Physics 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.

Number Theory · Mathematics 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.

Dynamical Systems · Mathematics 2024-04-16 Ali Taghavi

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

Quantum Algebra · Mathematics 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…

Probability · Mathematics 2015-07-07 E. D. Andjel , L. F. Gray
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