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Dec 27, 2012 at 23:09 history edited David Lehavi CC BY-SA 3.0
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Nov 19, 2012 at 9:49 comment added IMeasy the only thing I can say is that both the weddle quartic and the sextic are birational models of the kummer so it is natural that there is a (ramified) deg 2 map from the ab surface embedded in $P^8$, but that's all I can say.
Nov 19, 2012 at 2:11 comment added David Lehavi If there was a "classically known" modular explanation, it should have been in Bruce Hunt's "The geometry of some special arithmetic quotients" in chapter 4 or 5. I don't have it around, but I don't remember it being there - as far as I recall he just performs the computation you presented above. I agree that your question is natural, and deserves a modular answer. Weird part is - it also deserves the answer I've given - and I've never seen it either.
Nov 18, 2012 at 9:03 vote accept IMeasy
Nov 18, 2012 at 9:03 comment added IMeasy yes I do agree with you, this should be so. I wondered if there was any modular explaination to the the 2:1 cover, but maybe it is just that they are the halves, as you point out. thank you for your answer.
Nov 16, 2012 at 22:01 history edited David Lehavi CC BY-SA 3.0
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Nov 16, 2012 at 21:54 history answered David Lehavi CC BY-SA 3.0