Betti number

Known as: Betti numbers, Poincare polynomial, Poincaré polynomial

In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of n-dimensional simplicial complexes…

Papers overview

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2017

Musta\c{t}\u{a} has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set…

2016

Using a method of F\'elix and Thomas we compute the Betti numbers of unordered configuration spaces of the torus.

2015

Recently, the authors presented a novel approach to computing resolutions and Betti numbers using Pommaret bases. For Betti…

2014

The total Betti number of the independence complex of a graph is an intriguing graph invariant. Kalai and Meshulam have raised…

2003

It is well known that for 2-codimensional aCM subschemes of P with a fixed Hilbert function H there are all the possible graded…

2001

During the last decades mathematics has developed at an incredible speed and a large amount of new information and results have…

2000

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1997

Given a list of n real numbers, one wants to decide whether every number in the list occurs at least k times. It will be shown…

1991

Let X be a nonsingular projective variety with an algebraic action of a complex torus (c*)n. We study in this thesis the…