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Old 2008-09-13, 06:03   #2
R.D. Silverman
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Nov 2003

1D2416 Posts

Originally Posted by fivemack View Post
I'm considering the codimension-1-in-P5-object defined by

x^6+y^6+z^6 = u^6+v^6+w^6


What are the right sort of questions to ask about the set of points on a high-dimensional variety?
Is there an associated L-function? Is there a motive?
What does the j-invariant look like? Is the variety even Abelian?
How many localizations yield singularities? (i.e. how many primes have
bad reduction)
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