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Hyperbolic subalgebras of hyperbolic Kac-Moody algebras
Hyperbolic subalgebras hyperbolic Kac-Moody algebras
2011/1/18
We investigate regular hyperbolic subalgebras of hy-perbolic Kac-Moody algebras via their Weyl groups. We classify all subgroups relations between Weyl groups of hyperbolic Kac-Moody algebras, and sho...
Simplicial volume and fillings of hyperbolic manifolds
Simplicial volume fillings of hyperbolic manifolds
2011/1/18
Let M be a hyperbolic n–manifold whose cusps have torus crosssections.In [FM10], the authors constructed a variety of nonpositively and negatively curved spaces as “2–fillings” of M by replacing the ...
The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
Almost Complete Intersection Enumeration of Plane Partitions
2011/1/18
Let k be a field. For each pair of positive integers (n,N), we resolve Q = R/(xN, yN, zN) as a module over the ring R = k[x, y, z]/(xn +yn + zn). Write N in the form N = an + r for integers a and r.
On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups
Torsion Homology Non-Arithmetic Hyperbolic Tetrahedral Groups
2011/1/19
Numerical data concerning the growth of torsion in the first homology of non-arithmetic hyperbolic tetrahedral groups are collected. The data provide support the speculations of Bergeron and Venkatesh...
Log del Pezzo Surfaces of Rank 2 and Cartier Index 3 with a Unique Singularity
Log del Pezzo surfaces Quotient singularities
2011/1/18
Log del Pezzo surfaces play the role of the opposite of surfaces of general type. We will completely classify all the log del Pezzo surfaces of rank 2 and Cartier index 3 with a unique singularity.
Finite difference approximations for the first-order hyperbolic partial differential equation with point-wise delay
hyperbolic partial differential equation differential difference equation
2011/1/18
Explicit numerical methods based on Lax-Friedrichs and Leap-Frog finite difference approximations are constructed to find the numerical solution of the first-order hyperbolic partial differential equa...
The central curve in linear programming
Linear programming interior point methods matroid Tutte polynomial hyperbolic
2011/2/22
The central curve of a linear program is an algebraic curve speci ed by linear and quadratic constraints arising from complementary slackness. It is the union of the various central paths for minimizi...
Hyperbolic hypercomplex D-bar operators, hyperbolic CR-equations and harmonicity
hyperbolic holomorphicity hyperbolic harmonicity
2011/2/21
This paper is partially a review of the development of the Investigation Program announced by Stancho Dimiev at the Bedlevo Conference on Hypercomplex Analysis (2006).
Propagation of analyticity for a class of nonlinear hyperbolic equations
Propagation of analyticity class of nonlinear hyperbolic equations
2011/2/22
We consider the hyperbolic semilinear equations of the form @m t u + a1(t) @m−1 t @xu + · · · + am(t) @m x u = f(u),f(u) entire analytic.
Determinantal representation and subschemes of general plane curves
Determinantal representation subschemes of general plane curves
2011/2/21
Let M = (mij ) be an n × n square matrix of integers. For our purposes, we can assume without loss of generality that M is homogeneous and that the entries are non-increasing going leftward and downwa...
Characteristic numbers of rational nodal curves in $\mathbb{P}^3$
Characteristic numbers of rational nodal $\mathbb{P}^3$
2011/1/19
In this paper we compute the number of rational curves with one node passing through a given number of points, lines and tangent to a given number of planes in P3.
Kähler groups, real hyperbolic spaces and the Cremona group
Kä hler groups real hyperbolic spaces Cremona group
2011/1/19
Generalizing a classical theorem of Carlson and Toledo, we prove that any Zariski dense isometric action of a K¨ahler group on the real hyperbolic space of dimension at least 3 factors through a homom...
The double cover of cubic surfaces branched along their Hessian
double cover cubic surfaces branched
2011/2/23
We prove the relation between the Hodge structure of the double cover of a nonsingular cubic surface branched along its Hessian and the Hodge structure of the triple cover of P3 branched along the cub...
There are few known examples of manifolds with positive sectional curvature in Riemannian
geometry. Until recently, they were all homogeneous spaces [Be, Wa, AW] and biquotients [E1,
E2, Ba], i.e., ...
SO(n)\SO_0(n,1) has Positive Curvatures
Homogeneous submersion Warped product Semi-simple Lie group
2011/1/17
The Lie group SO0(n, 1) has the left-invariant metric com-ing from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left. The geometry of the quo-tient s...