Monthly Archives: May 2012

Moduli

Let and be a pair of elliptic curves. We saw in the previous post that all maps are in fact linear; that is, they arise from linear maps on their universal covers, . More specifically, they arise from linear maps … Continue reading

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Jacobians

I’d like to begin by talking about the Jacobian of a curve. Let be a smooth algebraic curve. That is, it is (most of the time) the zero set of a two-variable polynomial such as Topologically, such objects are uniquely … Continue reading

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