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Mar 17, 2010 at 14:13 history edited Wanderer CC BY-SA 2.5
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Mar 17, 2010 at 14:08 history edited Wanderer CC BY-SA 2.5
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Mar 17, 2010 at 9:53 comment added damiano I think that the Fermat quartic in $\mathbb{P}^3$ is an example of a form without zero with $n=d=4$ having no zeros over $\mathbb{F}_5$. If I remember correctly, it is the only diagonal quartic over a finite field admitting no solution. If this is correct, then Martin Bright told me this, otherwise I am wrong! Note that the Fermat quartic is non-singular, and hence it is geometrically irreducible.
Mar 17, 2010 at 3:41 answer added Pete L. Clark timeline score: 3
Mar 17, 2010 at 1:42 history edited Wanderer CC BY-SA 2.5
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Mar 17, 2010 at 0:57 answer added BCnrd timeline score: 7
Mar 17, 2010 at 0:46 history edited Wanderer CC BY-SA 2.5
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Mar 17, 2010 at 0:40 history asked Wanderer CC BY-SA 2.5