# Contents

## Idea

Given an abelian group scheme $A$, its dual $A^\vee$ is essentially the moduli space of line bundles over $A$, the Picard scheme of $A$. Accordingly, there is a canonical line bundle over the product $A \times A^\vee$ (which over each point $(a,P)$ is the fiber over $a$ of the line bundle $P$), the Poincaré line bundle.

## References

A standard textbook is

• Mumford, Abelian varieties

A review of some basics is in

Last revised on July 4, 2014 at 03:01:02. See the history of this page for a list of all contributions to it.