Related papers: Counterexamples of the Geometrization Conjecture

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

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

We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.

We build here several counterexamples for two weight bi-parameter Carleson embedding theorem.

The paper presents a counterexample to the Hodge conjecture.

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

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

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…

We give counterexamples to Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients.

This paper describes a method used to construct infinitely many probable counterexamples of the abc conjecture over the rational integers.

In this note we give a counterexample to a conjecture proposed by Ciliberto about special linear systems of P^n through multiple base points.

Nous refutons, sous une certaine hypothese combinatoire, la "nonrevisiting path conjecture". Abstract: In this article, we give, under some hypothesis, a couterexample to the nonrevisiting path conjecture.

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

We derive a family of $L^p$ estimates of the X-Ray transform of positive measures in $\mathbb R^d$, which we use to construct a $\log R$-loss counterexample to the Mizohata-Takeuchi conjecture for every $C^2$ hypersurface in $\mathbb R^d$…

We present a counterexample concerning the monotone discretization of elliptic problems with mixed derivatives on anisotropic meshes.

In this paper we use computational methods to disprove a conjecture by Alaoglu and Erd\H{o}s regarding the superabundant numbers.

In this short paper we propose four conjectures in synthetic geometry that generalize Erdos-Mordell Theorem, and three conjectures in number theory that generalize Fermat Numbers.

We prove that the intersection of a Hirsch polytope and a cube may be a non-Hirsch polytope.

In this paper, we proved a special case of the DDVV Conjecture.

This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.