Reducibility mod p of integral closed subschemes in projective
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In an earlier paper we showed that we can improve results by Emmy Noether and Alexander Ostrowski concerning the reducibility modulo p of absolutely irreducible polynomials with integer coefficients by giving the problem a geometric turn and using an arithmetic Bezout theorem. This paper is a generalization, where we show that combining the methods of that paper with the theory of Chow forms leads to similar results for flat, equidimensional, integral, closed subschemes of arbitrary codimension in a projective space over the ring of rational integers.
Keywords
Cite
@article{arxiv.math/0003245,
title = {Reducibility mod p of integral closed subschemes in projective},
author = {Reinie Erne},
journal= {arXiv preprint arXiv:math/0003245},
year = {2007}
}