DEFINING EQUATIONS OF X0(2 2n)

Cytotaxonomy of the crickets Endecous Saussure, 1878 with an overview of the chromosomes of Phalangopsinae Group (Orthoptera: Phalangopsinae)

The karyotypes of five species of crickets Phalangopsinae were studied: E. onthophagus shows 2n = 19, X0♂, pairs 1, 7 and 8 metacentric, 2, 3, 6 and 9 submetacentric, 4 and 5 acrocentric; E. itatibensis with 2n = 19, X0♂, pairs 1, 7 and 8 metacentric, 2, 3, 4, 6 and 9 submetacentric, pair 5 acrocentric; E. cavernicolus with 2n = 21, X0♂, pairs 7, 8 and 9 metacentric, pairs 1, 2, 3, 4, 5, 6 and ...

On the Defining Number of (2n - 2)-Vertex Colorings of Kn x Kn

On a special class of simplicial toric varieties

We show that for all n ≥ 3 and all primes p there are infinitely many simplicial toric varieties of codimension n in the 2n-dimensional affine space whose minimum number of defining equations is equal to n in characteristic p, and lies between 2n − 2 and 2n in all other characteristics. In particular, these are new examples of varieties which are settheoretic complete intersections only in one ...

A Generalized Fibonacci Sequence and the Diophantine Equations $x^2pm kxy-y^2pm x=0$

In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the Diophantine equations $x^2pmkxy-y^2pm x=0$, where $k$ is positive integer, and describe the structure of solutions.

Multidimensional Degenerate Keller-Segel System with Critical Diffusion Exponent 2n/(n+2)

Abstract. This paper deals with a degenerate diffusion Patlak-Keller-Segel system in n ≥ 3 dimension. The main difference between the current work and many other recent studies on the same model is that we study the diffusion exponent m = 2n/(n+2) which is smaller than the usually used exponentm∗ = 2−2/n in other studies. With the exponentm = 2n/(n+2), the associated free energy is conformal in...