Der relative Satz von Schanuel

In this paper we count the number of linear subspaces L of defined over the number field K and with Arakelov height bounded by T . This generalizes the well-known Theorem of Schanuel which handles the case . We emphasize the dependence on L in our formula which holds for all T ≥ 1.

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Bibliographic Details
Published in:Manuscripta mathematica 2008-08, Vol.126 (4), p.505-525
Main Authors: Christensen, Christian, Gubler, Walter
Format: Article
Language:English
Subjects:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Summary:In this paper we count the number of linear subspaces L of defined over the number field K and with Arakelov height bounded by T . This generalizes the well-known Theorem of Schanuel which handles the case . We emphasize the dependence on L in our formula which holds for all T ≥ 1.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-008-0186-7