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The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
Cohen-Macaulayness of generically complete intersection monomial ideals
Cohen-Macaulay generically complete intersection monomial ideals Commutative Algebra
2011/9/20
Abstract: In this paper we discuss the problem of characterizing the Cohen-Macaulay property of certain families of monomial ideals with fixed radical. More precisely, we consider generically complete...
G-complete reducibility and the exceptional algebraic groups
G-complete reducibility the exceptional algebraic groups
2010/11/24
Let $G=G(K)$ be a simple algebraic group defined over an algebraically closed field $K$ of characteristic $p>0$. A subgroup $X$ of $G$ is said to be $G$-completely reducible if, whenever it is contai...
Complete solution to a conjecture on the maximal energy of unicyclic graphs
Complete solution conjecture unicyclic graphs
2010/11/24
For a given simple graph $G$, the energy of $G$ denoted by $E(G)$, is defined as the sum of the absolute values of all eigenvalues of its adjacency matrix. Let $P_n^{\ell}$ be the unicyclic graph obt...
A complete algorithm for determining copositive matrices
A complete algorithm for determining copositive matrices math
2010/11/15
In this paper, we present a complete algorithm called COPOMATRIX for determining the copositivity of an $n\times n$ matrix. The core of this algorithm is decomposition theorem, which is used to deal ...
Given a family $F$ of subsets of a group $G$ we describe the structure of its thin-completion $\tau^*(F)$, which is the smallest thin-complete family that contains $I$. A family $F$ of subsets of $G$...
Complete synchronization in coupled Type-I neurons
complete synchronization coupled Type-I neurons
2010/4/2
For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we po...
Complete Numerical Isolation of Real Zeros in General Triangular Systems
system of polynomial equations triangular polynomial system zero-dimensional system isolating interval real zero isolation complete numerical algorithms sleeve bound evaluation bound separation bound
2013/9/9
We consider the computational problem of isolating all the real zeros of a zero-dimensional triangular polynomial system Fn μZ[x1xn]. We present a complete numerical algorithm for this problem. Our sy...
Complete Numerical Isolation of Real Roots in Zero-dimensional Triangular Systems
Triangular system real zero isolation sleeve bound evaluation bound
2013/9/9
We present a complete numerical algorithm of isolating all the real zeros of a zero-dimensional triangular polynomial system Fn μ Z. Our system Fn is general, with no further assumptions. In particula...
Complete Solution Classification for the Perspective-Three-Point Problem
Complete Solution Classification Perspective-Three-Point Problem
2013/9/9
Complete Solution Classification for the Perspective-Three-Point Problem.