# nLab Poincaré line bundle

### Context

#### Bundles

bundles

fiber bundles in physics

cohomology

# Contents

## Idea

The canonical line bundle on the product of an abelian group (abelian variety) and its dual Picard scheme. Alternatively its sheaf of sections: the Poincaré sheaf.

## References

The idea is briefly summarized in

Lecture notes include

• John Meth, Kelly McKinnie, The Poincaré bundle (pdf)

Textbook accounts include

• Alexander Polishchuk, section 16.3 of Abelian varieties, Theta functions and the Fourier transform, Cambridge University Press (2003) (pdf)

Last revised on June 2, 2014 at 01:52:00. See the history of this page for a list of all contributions to it.