Timeline for Avoiding Minkowski's theorem in algebraic number theory.
Current License: CC BY-SA 2.5
3 events
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| Apr 6, 2010 at 12:08 | comment | added | David E Speyer | Thanks, good catch. I meant the rank of $\mathcal{O}_X^{\times}/\mathbb{C}^{\times}$. The units of the base field should be considered as analogous to the roots of unity in the standard Dirichlet unit theorem. | |
| Apr 6, 2010 at 11:29 | comment | added | Pete L. Clark | @DS: The unit group of an affine algebraic curve certainly contains $\mathbb{C}^{\times}$, so has infinite rank: i.e., more than the number of punctures minus $1$. Or do you mean something different by "rank" here? | |
| Mar 22, 2010 at 15:57 | history | answered | David E Speyer | CC BY-SA 2.5 |