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Jan 27, 2014 at 15:57 history edited Jason Starr CC BY-SA 3.0
added 100 characters in body
Jan 27, 2014 at 3:32 history edited Jason Starr CC BY-SA 3.0
Addressed issue in the examples.
Jan 24, 2014 at 4:03 comment added Jason Starr @answer_bot: We do have the Lemma of Enriques-Severi-Zariski telling us that the inverse image of a (proper) ample divisor is connected. That takes care of the second example directly, but it also applies indirectly to the first example: the image of $S$ is an "ample complete intersection", rather than an ample divisor.
Jan 24, 2014 at 2:35 comment added answer_bot I don't buy the argument that the curve misses the branch locus downstairs because branching could happen at other points upstairs.
Jan 23, 2014 at 21:52 history edited Jason Starr CC BY-SA 3.0
Second, simpler example
Jan 23, 2014 at 17:35 history edited Jason Starr CC BY-SA 3.0
Added missing word, "result", in first sentence.
S Jan 23, 2014 at 17:04 history answered Jason Starr CC BY-SA 3.0
S Jan 23, 2014 at 17:04 history made wiki Post Made Community Wiki by Jason Starr