Related papers: Hebey-Vaugon conjecture II

In their study of the Yamabe problem in the presence of isometry group, Hebey and Vaugon announced a conjecture. This conjecture generalizes Aubin's conjecture, which has already been proven and is sufficient to solve the Yamabe problem. In…

New cases of the multiplicity conjecture are considered.

We propose several Hodge theoretic analogues of the conjectures of Hopf and Singer, and prove them in some special cases.

The paper presents a counterexample to the Hodge conjecture.

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

We review what is known about the Hodge conjecture for abelian varieties, with some emphasis on how Mumford-Tate groups have been applied to this problem.

A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

In this paper, we give a survey of the recent develpoments of the DDVV conjecture.

This paper takes a new step in the direction of proving the Duffin-Schaeffer Conjecture for measures arbitrarily close to Lebesgue. The main result is that under a mild `extra divergence' hypothesis, the conjecture is true.

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature.…

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

We give a proof of some small weight and level cases of Serre's conjecture.

We present some questions and suggestion on the second part of the Hilbert 16th problem

This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.

In this paper, the abc conjecture is negated under certain conditions

We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.

We study some versions of the statement of Hadwiger's conjecture for finite as well as infinite graphs.

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

We introduce a new method in the attempt to prove the Jacobian conjecture. In the complex dimension 2 case, we apply this method to prove some new results related the Jacobian conjecture.