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Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements
hyperplane arrangement Milnor fiber monodromy polynomial-count
2011/1/19
A necessary and sufficient condition for the triviality of the Milnor monodromy of a central hyperplane arrangement is given. This is a consequence of a Thom-Sebastiani type result, where the sum of h...
Restriction and spectral multiplier theorems on asymptotically conic manifolds
Restriction spectral multiplier theorems asymptotically conic manifolds
2011/2/22
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure dE() of the square root of the Laplacian on Rn is bounded from Lp(Rn) to Lp′
(Rn) for 1 p 2...
Symplectic birational transformations of the plane
Symplectic birational transformations plane
2011/1/18
We study the group of symplectic birational transformations of the plane.
The incenter of a triangle as a cone isoperimetric center
Incenter isoperimetric problem optimization center
2011/3/1
We show that the the image of the regular projection of a vertex of a cone over a triangle
that minimizes the ratio of the cube of the area of the boundary of the cone and the square
of the volume o...
Virial Theorem and Hypervirial Theorem in a spherical geometry
Viral Theorem Perturbation Theory Spherical geometry
2011/2/25
In the paper, we obtain the Virial Theorem and Hypervirial Theorem in a spherical geometry.
The Hypervirial Theorem and Hellmann-Feynman Theorem are used to formulate a perturbation
theorem without ...
We study the problem to extend an immersed circle f in the sphere S2 to an immersion of the disc. We analyze existence and uniqueness for this problems in terms of the combinatorial structure of a wor...
On equicontinuity of homeomorphisms with finite distortion in the plane
homeomorphisms finite distortion
2011/2/24
It is stated equicontinuity and normality of families F of the so–called homeomorphisms with
finite distortion on conditions that Kf (z) has finite mean oscillation, singularities of logarithmic typ...
If G is a group with a presentation of the form hx, y|x3 = y3 = W(x, y)2 = 1i, then either G
is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence
in favour...
Triangulations of nearly convex polygons
triangulation convex set triangulation polynomial
2011/1/20
Counting Euclidean triangulations with vertices in a finite set C of the convex hull Conv(C ) of C is difficult in general, both algorithmically and theoretically. The aim of this paper
is to describ...
Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
Non-intersecting Brownian walkers Yang-Mills theory on the sphere
2010/12/6
We study a system of N non-intersecting Brownian motions on a line seg-ment [0;L] with periodic, absorbing and re ecting boundary conditions.
The edge-to-edge tiling of the 2-dimensional sphere by congruent pentagons must contain at least 12 tiles. We give almost complete classification of the minimal tiling by 12 congruent pentagons, with ...
For a polytope P a simplex with vertex set V() is called a special simplex if every facet of P contains all but exactly one vertex of .For such polytopes P with face complex F(P) containing a spec...
Completely reducible subcomplexes of spherical buildings
Completely reducible subcomplexes spherical buildings
2010/12/14
The motivation for this note is the Center Conjecture for spherical buildings,which states the following: Let be a spherical building and a convex subcomplex.
Two classes of slant surfaces in nearly Kahler six sphere
slant surfaces K¨ahler angle octonions six sphere
2010/12/14
In this paper we find examples of slant surfaces in the nearly K¨ahler six sphere. First, we characterize two-dimensional small and great spheres which are slant.
Let be a random spherical triangle (meaning that vertices are independent and uniform on the unit sphere). A closed-form expression for the area density of has been known since 1867; a complicated...