Related papers: A note on an Counter Example of Dacorogna

The paper presents a counterexample to the Hodge conjecture.

In this paper, we give a simple counter example to the famous Hodge conjecture.

In this short note we present a family of counterexamples to the King's conjecture.

This note presents an interesting counterexample to a basic covering problem.

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

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

We give a counterexample to a recently conjectured variant of the Penrose inequality.

The aim of this short note is to give counterexamples to two results by D. Y. Gao [5, Th. 16], [4, Th. 2] and to improve a related result by S.-C. Fang, D. Y. Gao, R.-L. Sheu and S.-Y. Wu [1, Th. 3].

This note is the follow up to a paper by M. Waldschmidt.

The purpose of this note is to give counterexamples to the containment $I^{(3)}\subset I^2$ over the real numbers.

In this extended abstract, we carefully examine a purported counterexample to a postulate of iterated belief revision. We suggest that the example is better seen as a failure to apply the theory of belief revision in sufficient detail. The…

This is a short note on the log canonical inversion of adjunction.

This short note present a "proof" of $P\neq NP$. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

We provide a counter-example to Proposition 3.2 of "A note on the Fundamental Group of a Triangular Algebra", by F.Xu.

In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.

In [2] the author claims to provide a counterexample to a result in a recent paper [1]. In this note, we prove that the details of his example is false and this example is compatible with our result in [1] and so is not a countreexample.

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

In this note we rectify the proof of Theorem 3.11 in [arXiv:2403.02876]. We also present a set of examples at the end discussing various cases.

This paper has been withdrawn by the author due to the presented idea is wrong.