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Right-angled Coxeter polytopes, hyperbolic 6-manifolds, and a problem of Siegel
Hyperbolic manifold right-angled polytope Coxeter group
2010/12/8
By gluing together the sides of eight copies of an all-right angled hyperbolic 6-dimensional polytope, two orientable hyperbolic 6-manifolds with Euler characteristic −1 are constructed. They ar...
Conjugacy p-separability of right-angled Artin groups and applications
Conjugacy p-separability right-angled Artin groups applications
2010/12/9
We prove that every subgroup of p-power index in a right-angled Artin group is conjugacy p-separable. In particular, every right-angled Artin group is conjugacy p-separable. A consequence of this resu...
An example of non-homeomorphic conjugate varieties
example non-homeomorphic conjugate varieties
2010/12/13
We give examples of smooth quasi-projective varieties over complex numbers, in the context of connected Shimura varieties, which are not homeomor-phic to a conjugate of itself by an automorphism of th...
Rigidity of Frameworks Supported on Surfaces
bar-joint framework framework on a surface rigid framework
2010/12/9
A theorem of Laman gives a combinatorial character-isation of the graphs that admit a realisation as a minimally rigid generic bar-joint framework in R2. A more general theory is devel-oped for framew...
Function Theory on a q-Analog of Complex Hyperbolic Space
Function Theory q-Analog of Complex Hyperbolic Space
2010/12/15
This work deals with function theory on quantum complex hyperbolic spaces. The prin-cipal notions are expounded. We obtain explicit formulas for invariant integrals on ‘finite’
functions on a quantum...
Lifting Tropical Curves in Space and Linear Systems on Graphs
Tropical Curves in Space Linear Systems Graphs
2010/12/2
Tropicalization is a procedure for associating a polyhedral complex to a subva-riety of an algebraic torus. We study the question on which graphs arise from tropicalizing algebraic curves. By using Ba...
A symmetrized conjugacy scheme for orthogonal expansions
orthogonal expansions conjugacy Riesz transforms conjugate Poisson integra
2010/12/2
We establish a symmetrization procedure in a context of general orthogonal expansions associated with a second order differential operator L, a ‘Laplacian’. Combined with a unified conjugacy scheme fu...
Darboux transforms and simple factor dressing of constant mean curvature surfaces
Darboux transforms simple factor dressing constant mean curvature surfaces
2010/12/14
We define a transformation on harmonic maps N : M ! S2 from a Riemann surface M into the 2–sphere which depends on a parameter μ 2 C, the so–called μ–Darboux transformation.
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
Runge-Kutta methods hyperbolic systems with relaxation stiff systems
2010/12/6
We consider new implicit-explicit (IMEX) Runge-Kutta methods for hyperbolic systems of conservation laws with stiff relaxation terms. The explicit part is treated by a strong-stability-preserving (SSP...
关于一阶双曲型方程差分解的外推及其稳定性
差分解 双曲型方程 一阶
2009/10/26
0)初边值问题的差分格式,并给出了相应的关于时间变量t的外推算法,但未涉及这些算法的稳定性问题。本文首先对各差分格式的稳定性予以讨论,导出其稳定性条件,然后提出一类改进的差分格式,它们比[1]~[3]中的算法有较高的精度或较好的稳定性。
解二维标量双曲型守恒律的一类满足极值原理的无结构三角形网格有限体积方法
极值原理 双曲型守恒律 二维标量
2009/10/23
A new finite volume scheme, based on first order monotone scheme and limited linear reconstruction, is constructed for scalar hyperbolic conservation laws in two dimension,the scheme satisfies the max...
求解守恒型双曲方程组的TVD-FCT格式及其应用
TVD-FCT格式 双曲方程组 守恒型
2009/10/23
本文研究如下守恒型双曲方程组的物理解的计算: αU/αt+αf(U)/αx=0,(x,t)∈R×R~+,(1.1) U(x,0)=U_0(x),U(x,t)∈R~m.问题(1.1)在流体力学领域中经常遇到,它描述了一维可压流的非定常流动.解决好(1.1)的求解问题,具有重要的意义. 求解(1.1)的数值方法很多.这些数值方法有的精度低,对激波有抹平现象,有的精度高,但在激波附近出现伪振荡,甚至出...
双曲守恒律标量方程的高分辨率激波追踪方法
高分辨率激波追踪方法 守恒律标量方程 双曲
2009/10/23
本文将四阶CWENO(中心加权基本无振荡)格式、LevelSet方法以及四阶NCE—RK(自然连续外推的Runge—Kutta)方法结合起来,追踪了一维双曲守恒律方程的激波解.利用NSFD(非标准有限差分)格式来扩展CWENO重构的范围同时提高格式的精度.上述方法也能成功追踪二维双曲守恒律方程的激波解.还将本方法与标准的激波捕捉方法相比较,由此可知基于LevelSet方法的格式的有效性和逐点收敛性...