Related papers: Family of counterexamples to King's conjecture

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

The paper presents a counterexample to the Hodge conjecture.

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

Recently, G. Mason has produced a counterexample of order 128 to a conjecture in conformal field theory and tensor category theory in [Ma]. Here we easily produce an infinite family of counterexamples, the smallest of which has order 72.

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.

We give a counterexample to the PIA (precise inversion of adjunction) conjecture for minimal log discrepancies. We also give a counterexample to the LSC conjecture for families.

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

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

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

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

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

We give a counterexample of Morrison's cone conjecture for a strict Calabi-Yau threefold.

New cases of the multiplicity conjecture are considered.

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

Extending the discovery by Giles Gardam of a concrete counterexample to Kaplansky's unit conjecture in characteristic 2, a family of counterexamples for every prime characteristic is presented.

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea is to consider non-uniform probability measures.

We narrow the gap between the family of graphs that do and the family of graphs that do not satisfy the fat minor conjecture by obtaining much simpler counterexamples than were previously known, including $K_t, t \geq 6$ and $K_{s,t}, s,t…

In this short note we report on results on a computational search for a counterexample to the strong coincidence conjecture. In particular, we discuss the method used so that further searches can be conducted.

First a few reformulations of Frankl's conjecture are given, in terms of reduced families or matrices, or analogously in terms of lattices. These lead naturally to a stronger conjecture with a neat formulation which might be easier to…