Hodge bundle

This is another natural bundle on $ \mathcal{M}_{g,n}$; the fibre over a curve $ C$ of genus $ g$ is the rank $ g$ vector space of differentials (holomorphic 1-forms) on $ C$. This bundle can be extended naturally to a vector bundle over $ \overline{\mathcal{M}}_{g,n}$ by considering certain meromorphic differentials on curves in the boundary.

Jeffrey Herschel Giansiracusa 2005-06-27