Properties Not Preserved Under Base Change

Algebraic Geometry
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Tsakanikas Nickos
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Joined: Tue Nov 10, 2015 8:25 pm

Properties Not Preserved Under Base Change

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Post by Tsakanikas Nickos »

Show that the following properties of a morphism of schemes are not preserved under base change:
  1. quasi-finite
  2. injective
  3. having reduced fibres
  4. having integral fibres
  5. having connected fibres
Is the property "surjective" preserved under base change?
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