Diophantine Approximation of non-algebraic points on varieties II: Explicit estimates for arithmetic Hilbert Functions
Algebraic Geometry
2016-01-27 v2 Number Theory
Abstract
Because of its ineffectiveness, the usual arithmetic Hilbert-Samuel formula is not applicable in the context of Diophantine Approximation. In order to overcome this difficulty, the present paper presents explicit estimates for arithmetic Hilbert Functions of closed subvarieties in projective space.
Keywords
Cite
@article{arxiv.0711.1667,
title = {Diophantine Approximation of non-algebraic points on varieties II: Explicit estimates for arithmetic Hilbert Functions},
author = {Heinrich Massold},
journal= {arXiv preprint arXiv:0711.1667},
year = {2016}
}
Comments
25 pages, Proof of the main result simplified, alternative proof of an estimate for the algebraic Hilbert function added