Skip to main content
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Connectedness of Brill-Noether loci via degenerations

Published Web Location
No data is associated with this publication.

We show that limit linear series spaces for chains of curves are reduced. Using new advances in the foundations of limit linear series, we then use degenerations to study the question of connectedness for spaces of linear series with imposed ramification at up to two points. We find that in general, these spaces may not be connected even when they have positive dimension, but we prove a criterion for connectedness which generalizes the theorem previously proved by Fulton and Lazarsfeld in the case without imposed ramification.

Item not freely available? Link broken?
Report a problem accessing this item