搜索结果: 46-60 共查到“球面几何学”相关记录78条 . 查询时间(4.784 秒)
The symplectic Deligne-Mumford stack associated to a stacky polytope
symplectic Deligne-Mumford stack stacky polytope
2010/12/8
We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky
polytope and construct the symplectic toric Deligne–Mumford stack associated to it. Then we establish a rel...
Partitioning the triangles of the cross polytope into surfaces
cross polytope simplicial complexes triangulated surfaces difference cycles.
2010/12/6
We present a constructive proof, that there exists a decomposition of the 2-skeleton of the
k-dimensional cross polytope k into closed surfaces of genus ¤ 1, each with a transitive
automorphism gro...
1.1. Background. A bi-Lipschitz homeomorphism f : X → Y between metric spaces is a mapping f such that f and f−1 satisfy a uniform Lipschitz condition.
On Some fundamental aspects of Polyominoes on Random Voronoi Tilings
fundamental aspects Polyominoes Random Voronoi Tilings
2010/12/9
Consider a Voronoi tiling of Rd based on a realization of a inhomogeneous Poisson random set. A Voronoi polyomino is a finite and connected union of Voronoi tiles.In this paper we provide tail bounds ...
Manin's Conjecture for a Singular Sextic del Pezzo Surface
Manin's Conjecture Singular Sextic del Pezzo Surface
2010/12/6
We prove Manin’s conjecture for a del Pezzo surface of de-gree six which has one singularity of type A2. Moreover, we achieve a meromorphic continuation and explicit expression of the associated heigh...
We describe a geometric–combinatorial algorithm that allows one, using solely the system of weights and roots, to determine the Hesselink strata of the null-cone of a linear representation of a reduct...
An object in the bounded derived category Db(X) of coherent sheaves on a complex projective K3 surface X is spherical if it is rigid and simple. Although spherical objects form only a discrete set in ...
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Bloch-Beilinson conjecture K3 surfaces spherical objects
2010/12/10
For a projective K3 surface X over an algebraically closed field k let Db(X) denote the bounded derived category of coherent sheaves. Spherical objects, e.g. line bundles and rigid
stable bundles, pl...
The Mukhin-Tarasov-Varchenko Theorem, conjectured by B. and M.Shapiro, has a number of interesting consequences. Among them is a well-behaved correspondence between certain points on a Grassmannian — ...
The coefficient of the logarithmic term in the entropy on even spheres is re–computed by the local technique of integrating the finite temperature energy density up to the horizon on static d–dimensio...
On Isosceles Triangles and Related Problems in a Convex Polygon
Isosceles Triangles and Related Problems Convex Polygon
2010/12/15
Given any convex n-gon, in this article, we: (i) prove that its vertices can form at most n2/2 + (n log n) isosceles trianges with two sides of unit length and show that this bound is optimal in the ...
球面的四边形面覆盖猜想
球面 极大平面图
2015/5/28
本文提出了这样一个猜想：球面上的极大平面图中的所有三角形面均可以每相邻的两个为一组合并成四边形面，从而使该球面完全被四边形面所覆盖。两个三角形面相邻是指这两个三角形面有一条公共边。
曲面上一种等距不变量的构造
曲面度量 等距变换 不变量 非刚体运动
2010/3/31
提出一种基于曲面内蕴度量的等距变换不变量构造方法.通过不变几何基元构造不变核,再对不变核进行多重积分,得到曲面上的等距不变量.这种不变量完全基于曲面的内在属性,有直观的几何解释,并且不受数量约束.实验表明,它对于描述曲面的等距变换,如不同表情的同一人脸、不同姿态的同一人体运动等具有潜在应用意义.
一类极小曲面的不存在性
2007/12/13
本文考虑三维 Euclid 空间$R^3$中拓扑型为球面的有限全曲率完备嵌入极小曲面.通过对伪嵌入极小曲面的研究,证明了一类嵌入极小曲面的不存在性,并明确了伪嵌入与嵌入极小曲面的差异.