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Solving polynomial equations when you know in which number field the solutions live

Well, it's certainly easier to intersect lines and quadrics. I would simply go on intersecting all lines, and then select some nicer quadrics to intersect until I'm having a finite set of points, from …
Ilya Nikokoshev's user avatar
11 votes

Global fields: What exactly is the analogy between number fields and function fields?

Sure, here's a overview. Suppose you have a ring R over a field k, then, by the magic of algebraic geometry, you can think about it in a geometric way. You do this by defining points as epimorphisms …
Ilya Nikokoshev's user avatar