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Nov 20, 2021 at 5:15 history edited Sándor Kovács CC BY-SA 4.0
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Oct 27, 2011 at 20:14 comment added Sándor Kovács @Artei: nice example in the linked answer. I hadn't seen your comment, because it was hidden. I guess these K3s also give counter examples to JC's question.
Oct 27, 2011 at 19:37 comment added user5117 Nice answer. It's interesting that nobody is able to come up with an example with Picard number greater than 4 (including me, in my answer to the question linked in the comments). It would be nice to know if this is just because surfaces of general type are not well understood, or if there is a deeper reason.
Oct 27, 2011 at 18:18 history answered Sándor Kovács CC BY-SA 3.0