Related papers: On two Kuznetsov's conjectures

A proof of Sendov's conjecture is given.

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

The paper presents a counterexample to the Hodge conjecture.

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

In this note, we disprove two Romanov type conjectures posed by Chen.

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

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

In this paper we propose counterexamples to the Geometrization Conjecture and the Elliptization Conjecture.

We prove the Aharoni Berger Conjecture

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

Khabibullin's conjecture has three statements equivalent to each other. Recently Ruslan Sharipov has constructed a counterexample to this conjecture for one of its three statements. In this paper Sharipov's counterexample is transferred to…

In this note we investigate the Cheltsov--Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.

The article presents the proof of Casas-Alvero conjecture.

We show that the Jacobian conjecture of the two dimensional case is true.

We give an example for the Kuznetsov-Shinder conjecture, with infinitely many non-isomorphic D-equivalent and L-equivalent varieties.

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

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

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

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

We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.