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…

2015

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

2013

Multidimensional persistence modules do not admit a concise representation analogous to that provided by persistence diagrams for…

2006

On the Complexity of Real Equation Solving by Bernd Bank, Humboldt–Universität zu Berlin The first part of the speech deals with…

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…

2003

Using the Hirzebruch's Riemann-Roch formula for endomorphism bundles over a compact complex two-fold we prove that the tangent…

2000

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1991

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