Effective criterion for openness of an algebraic morphism

Details Effective criterion for openness of an algebraic morphism Effective criterion for openness of an algebraic morphism

2010-06-09

arxiv.org/abs/1006.1872v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

We give an effective criterion for openness of a morphism of schemes of
finite type over a field: Over a normal base of dimension n, failure of
openness is detected by a vertical component in the n'th fibred power of the
morphism. This is a topological analogue of a criterion for flatness that
originates with Auslander.

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