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Jun 21, 2011 at 19:23 comment added Enrique Acosta And thank you for the example on the lines too!
Jun 21, 2011 at 19:14 vote accept Enrique Acosta
Jun 21, 2011 at 19:14
Jun 21, 2011 at 12:35 comment added Allen Knutson You can see the same issue looking at the solutions of $y^2=t^2$ as $t$ varies. The total space is a reduced union of two lines, most fibers are two points, and one fiber is a double point. This is a case where the central fiber is again S1, which Hartshorne's example shows may fail.
Jun 21, 2011 at 9:20 history edited Francesco Polizzi CC BY-SA 3.0
added 30 characters in body
Jun 21, 2011 at 9:05 history undeleted Francesco Polizzi
Jun 21, 2011 at 9:02 history deleted Francesco Polizzi
Jun 21, 2011 at 9:02 history answered Francesco Polizzi CC BY-SA 3.0