The Finiteness Theorems of Faltings

1992 ◽  
pp. 154-202
Author(s):  
G. Wüstholz
Keyword(s):  
Finiteness Theorems

scholarly journals Finiteness theorems for torsion of abelian varieties over large algebraic fields

2001 ◽  
Vol 98 (1) ◽  
pp. 15-31 ◽  
Author(s):  
Marcel Jacobson ◽  
Moshe Jarden
Keyword(s):  
Abelian Varieties ◽  
Finiteness Theorems ◽  
Algebraic Fields

scholarly journals Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves

2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Cristian González-Avilés
Keyword(s):  
Algebraic Cycles ◽  
Finitely Generated ◽  
Relative Dimension ◽  
Finiteness Theorems ◽  
Small Codimension

AbstractWe obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves over perfect fields. For example, if k is finitely generated over ℚ and X → C is a quadric fibration of odd relative dimension at least 11, then CH i(X) is finitely generated for i ≤ 4.

Hilbert on Theology and Its Discontents

2012 ◽  
Author(s):  
Colin McLarty
Keyword(s):  
Doctoral Student ◽  
Finiteness Theorems

This chapter examines the myth surrounding Paul Gordan's response to David Hilbert's finiteness theorems. A proof introduced by Hilbert in 1888 became the paradigm of modern axiomatic mathematics. In the myth, Gordan denounced Hilbert's proof, and his anathema rebounded against himself when he said, “This is not Mathematics, it is Theology!” After providing the background to the various interpretations that Gordan's comment has generated, the chapter considers the so-called “Gordan's problem”—to find finite complete systems of invariants for forms. It then discusses Hilbert's theorem and Gordan's reaction to Hilbert's fuller version of the invariant theorem, as well as Gordan's mythic quotation. It also explores the role played by Gordan's one and only doctoral student, Emmy Noether, in the Gordan–Hilbert controversy and concludes by emphasizing Gordan's story as an example of the deliberate use of narrative in mathematics.

THE DISCONTINUITY SET FOR A KLEINIAN GROUP AND TOPOLOGY OF ITS KLEINIAN MANIFOLD

1993 ◽  
Vol 04 (01) ◽  
pp. 167-177 ◽  
Author(s):  
ANDREW V. TETENOV
Keyword(s):  
Kleinian Group ◽  
Kleinian Groups ◽  
Infinite Volume ◽  
And Topology ◽  
Finiteness Theorems

The aim of the paper is to proof the finiteness theorems for the discontinuity set Ω (G) of Kleinian groups G on n-sphere, n ≥ 3 and to study the relation between the structure of Ω (G) and the topology of infinite volume hyperbolic (n + 1)-manifold M (G), π1 (M) = G. In particular, we describe the homotopy and homology of these manifolds.

scholarly journals Finiteness Theorems in Stochastic Integer Programming

2006 ◽  
Vol 7 (2) ◽  
pp. 183-227 ◽  
Author(s):  
Matthias Aschenbrenner ◽  
Raymond Hemmecke
Keyword(s):  
Integer Programming ◽  
Stochastic Integer Programming ◽  
Finiteness Theorems
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