scholarly journals A finiteness property of graded sequences of ideals

2012 ◽  
Vol 6 (3) ◽  
pp. 561-571
Author(s):  
Mattias Jonsson ◽  
Mircea Mustaţă
Keyword(s):  
Finiteness Property

Aspherical manifolds, Mellin transformation and a question of Bobadilla–Kollár

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yongqiang Liu ◽  
Laurenţiu Maxim ◽  
Botong Wang
Keyword(s):  
Integral Homology ◽  
Algebraic Varieties ◽  
Finiteness Property ◽  
Rational Homology ◽  
Mellin Transformation ◽  
Hopf Conjecture ◽  
Ball Quotients ◽  
Proper Map ◽  
Complex Projective ◽  
Aspherical Manifolds

Abstract In their paper from 2012, Bobadilla and Kollár studied topological conditions which guarantee that a proper map of complex algebraic varieties is a topological or differentiable fibration. They also asked whether a certain finiteness property on the relative covering space can imply that a proper map is a fibration. In this paper, we answer positively the integral homology version of their question in the case of abelian varieties, and the rational homology version in the case of compact ball quotients. We also propose several conjectures in relation to the Singer–Hopf conjecture in the complex projective setting.

Finitude simple et structures o-minimales (Finiteness property implies o-minimality)

2002 ◽  
Vol 67 (4) ◽  
pp. 1616-1622 ◽  
Author(s):  
Jean-Marie Lion
Keyword(s):  
A Priori ◽  
Finiteness Property

RésuméL'objet de ce texte est de montrer que des fonctions qui appartiennent à une famille vérifiant une propriété de finitude a priori non uniforme sont en fait définissables dans une structure o-minimale.

scholarly journals Finiteness property of pairs of 2×2 sign-matrices via real extremal polytope norms

2010 ◽  
Vol 432 (2-3) ◽  
pp. 796-816 ◽  
Author(s):  
Antonio Cicone ◽  
Nicola Guglielmi ◽  
Stefano Serra-Capizzano ◽  
Marino Zennaro
Keyword(s):  
Finiteness Property

scholarly journals Goldie criteria for some semiprime rings

1991 ◽  
Vol 33 (3) ◽  
pp. 297-308
Author(s):  
K. A. Brown ◽  
B. A. F. Wehrfritz
Keyword(s):  
Normal Subgroup ◽  
Finiteness Property ◽  
Group Of Units ◽  
Semiprime Rings

We principally consider rings R of the form R = S[G], generated as a ring by the subring S of R and the subgroup G of the group of units of R normalizing S. (All our rings have identities except the nilrings.) We wish to deduce that certain semiprime images of R are Goldie rings from ring theoretic information about S and group theoretic information about G. Usually the latter is given in the form that G/N has some solubility or finiteness property, where N is some specified normal subgroup of G contained in S. Note we do not assume that N = G∩S; in particular N = 〈1〉 is always an option.

scholarly journals Characterization algorithms for shift radix systems with finiteness property

2014 ◽  
Vol 11 (01) ◽  
pp. 211-232 ◽  
Author(s):  
Mario Weitzer
Keyword(s):  
Convex Hull ◽  
Convex Polyhedron ◽  
The Other ◽  
Closed Convex Hull ◽  
Connected Component ◽  
Complicated Structure ◽  
Finiteness Property ◽  
A Chain ◽  
Interior Points

For d ∈ ℕ and r ∈ ℝd, let τr : ℤd → ℤd, where τr(a) = (a2, …, ad, -⌊ra⌋) for a = (a1, …, ad), denote the (d-dimensional) shift radix system associated with r. τr is said to have the finiteness property if and only if all orbits of τr end up in (0, …, 0); the set of all corresponding r ∈ ℝd is denoted by [Formula: see text], whereas 𝒟d consists of those r ∈ ℝd for which all orbits are eventually periodic. [Formula: see text] has a very complicated structure even for d = 2. In the present paper, two algorithms are presented which allow the characterization of the intersection of [Formula: see text] and any closed convex hull of finitely many interior points of 𝒟d which is completely contained in the interior of 𝒟d. One of the algorithms is used to determine the structure of [Formula: see text] in a region considerably larger than previously possible, and to settle two questions on its topology: It is shown that [Formula: see text] is disconnected and that the largest connected component has non-trivial fundamental group. The other is the first algorithm characterizing [Formula: see text] in a given convex polyhedron which terminates for all inputs. Furthermore, several infinite families of "cutout polygons" are deduced settling the finiteness property for a chain of regions touching the boundary of 𝒟2.

scholarly journals On the finiteness property for rational matrices

2008 ◽  
Vol 428 (10) ◽  
pp. 2283-2295 ◽  
Author(s):  
Raphaël M. Jungers ◽  
Vincent D. Blondel
Keyword(s):  
Finiteness Property

scholarly journals Finiteness property for generalized abelian integrals

2003 ◽  
Vol 53 (3) ◽  
pp. 767-785 ◽  
Author(s):  
Rémi Soufflet
Keyword(s):  
Abelian Integrals ◽  
Finiteness Property

scholarly journals A finiteness property of affine algebras

1990 ◽  
Vol 110 (2) ◽  
pp. 315-315
Author(s):  
Hyman Bass
Keyword(s):  
Finiteness Property ◽  
Affine Algebras

The finiteness property and Łojasiewicz inequality for global semianalytic sets

2005 ◽  
Vol 5 (3) ◽  
Author(s):  
F. Acquistapace ◽  
F. Broglia ◽  
M. Shiota
Keyword(s):  
Finiteness Property ◽  
Łojasiewicz Inequality ◽  
Lojasiewicz Inequality

A finiteness property an an automatic structure for Coxeter groups

1993 ◽  
Vol 296 (1) ◽  
pp. 179-190 ◽  
Author(s):  
Brigitte Brink ◽  
Robert B. Howlett
Keyword(s):  
Coxeter Groups ◽  
Finiteness Property ◽  
Automatic Structure
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