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Tangent star cones.

A. Simis, B. Ulrich, W.V. Vasconcelos (1997)

Journal für die reine und angewandte Mathematik

The set of points at which a morphism of affine schemes is not finite

Zbigniew Jelonek, Marek Karaś (2002)

Colloquium Mathematicae

Assume that X,Y are integral noetherian affine schemes. Let f:X → Y be a dominant, generically finite morphism of finite type. We show that the set of points at which the morphism f is not finite is either empty or a hypersurface. An example is given to show that this is no longer true in the non-noetherian case.

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