搜索结果: 1-9 共查到“数学 Betti numbers”相关记录9条 . 查询时间(0.126 秒)
Stochastic Homology. Reduction Formulas for Computing Stochastic Betti Numbers of Maximal Random Complexes with Discrete Probabilities. Computation and Applications
Stochastic Homology Stochastic Betti Numbers Maximal Random Complexes Algebraic Topology
2011/8/25
Abstract: Given a chain complex with the only modi?cation that each cell of the complex has a probability distribution assigned. We will call this complex - a random complex and what should be underst...
Limit theorems for Betti numbers of random simplicial complexes
Limit theorems random simplicial complexes
2010/12/9
There have been several recent articles studying homology of various types of random simplicial complexes. Several theorems have concerned thresholds for vanishing of homology, and in some cases expec...
Betti numbers of toric varieties and eulerian polynomials
Betti numbers of toric varieties eulerian polynomials
2010/12/3
It is well-known that the Eulerian polynomials, which count permutations in Sn by their number of descents, give the h-polynomial/h-vector of the simple polytopes known as permutohedra, the convex hul...
Betti numbers of edge ideals of uniform hypergraphs
Betti number hypergraph Hilbert function Stanley-Reisner ring
2010/11/29
We describe the Betti numbers of the edge ideals I(G) of uniform hypergraphs G such that I(G) has linear graded free resolution.
We study the dependence of graded Betti numbers of monomial ideals on the characteristic of the
base field. The examples we describe include bipartite ideals, Stanley–Reisner ideals of vertex-decompo...
Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers
Motivic Milnor fibers complete intersection varieties their virtual Betti numbers
2010/11/26
We study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of Cn by using the theory of motivic Milnor fibers.The results will be explicitly described...
Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant,Macdonald,Shapiro and Steinberg
Betti numbers of smooth Schubert varieties remarkable formula of Kostant Macdonald,Shapiro Steinberg
2010/12/7
The purpose of this note is to give a refinement of the product formula proved in [1] for
the Poincar´e polynomial of a smooth Schubert variety in the flag variety of an algebraic group G over ...
The Betti numbers of the moduli space of stable sheaves of rank 3 on P2
sheaves moduli spaces
2010/12/2
This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on P2 and its blow-up ~P2. Wall-crossing is used to obtain the Betti numbers on ~P2....
The Atiyah conjecture predicts that the L2-Betti numbers of a finite CW-complex with torsion-free fundamental group are integers. We show that the Atiyah conjecture holds (with an additional technica...