Diophantine Approximation on projective Varieties I: Algebraic distance and metric B\'ezout Theorem
Number Theory
2016-01-27 v3 Algebraic Geometry
Abstract
For two properly intersecting effective cycles in projective space X,Y, and their intersection product Z, the metric Bezout Theorem relates the degrees, heights of X,Y, and Z, as well as their distances and algebraic distances to a given point theta. Applications of this Theorem are in the area of Diophantine Approximation, giving estimates for approximation properties of Z with respect to against the ones of X, and Y.
Keywords
Cite
@article{arxiv.math/0611715,
title = {Diophantine Approximation on projective Varieties I: Algebraic distance and metric B\'ezout Theorem},
author = {Heinrich Massold},
journal= {arXiv preprint arXiv:math/0611715},
year = {2016}
}
Comments
53 pages, One major error (proof of old Proposition 4.16.3) corrected, Calculus slightly simplified