### Reducibility mod p of integral closed subschemes in projective, by Reinie Erne

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.

Reinie Erne <erne@maths.univ-rennes1.fr>