Quote:
Originally Posted by fivemack
I'm considering the codimension1inP5object defined by
x^6+y^6+z^6 = u^6+v^6+w^6
<snip>
What are the right sort of questions to ask about the set of points on a highdimensional variety?

Is there an associated Lfunction? Is there a motive?
What does the jinvariant look like? Is the variety even Abelian?
How many localizations yield singularities? (i.e. how many primes have
bad reduction)