nLab
Poincaré line bundle

Context

Bundles

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

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.