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Timeline for Involution of the Fermat quartic

Current License: CC BY-SA 3.0

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Apr 13, 2017 at 12:58 history edited CommunityBot
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May 10, 2014 at 16:09 vote accept Puzzled
Oct 10, 2012 at 16:46 comment added rita I had tought of this possibility. If I have time I can try to work out a description. Or maybe Francesco will do it...
Oct 10, 2012 at 12:29 comment added Puzzled You are right. The fibration of mathoverflow.net/questions/87633/… is not exactly the one I had in mind, sorry. It is just because I was considering a different fibration on $\mathbb{P}^{1}$, namely the one given by $$ C_{[\mu,\lambda]} = \left\{\begin{array}{l} \lambda (x^{2}-y^{2}) = \mu (z^{2}-t^{2})\\ \lambda (x^{2}+y^{2}) = \mu (z^{2}+t^{2}) \end{array} \right. $$ In this way $X/i$ is a fibration over $\mathbb{P}^{1}$ with $\mathbb{P}^{1}$ as general fiber.
Oct 10, 2012 at 8:39 vote accept Puzzled
Oct 10, 2012 at 8:39
Oct 10, 2012 at 0:05 answer added Francesco Polizzi timeline score: 4
Oct 9, 2012 at 20:23 comment added rita It seems to me that the fibers of the fibration described in mathoverflow.net/questions/87633/… are permuted by $i$, so the quotient surface has an elliptic fibration.
Oct 9, 2012 at 17:35 history asked Puzzled CC BY-SA 3.0