### On the degree of integral points of a projective space, by Reinie Erne

This work has now appeared in Crelle (J. reine angew. Math. 532 (2001), 151--177)
and so the preprint has been removed. In this paper we suppose given a locally free module F of finite rank
over the ring of integers of a number field, endowed with a Hermitian
metric, and a horizontal hypersurface in the associated projective space.
We show that the complement of this hypersurface contains an
integral point whose degree can be bounded by an explicit(ely given)
function of the degree and absolute discriminant of the field, the
arithmetic degree and first successive minimum of the Hermitian
vector bundle F, and the degree, dimension, and projective height of
the hypersurface.

Reinie Erne <erne@univ-rennes1.fr>