Abel maps and limit linear series
Skip to main content
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

Abel maps and limit linear series

Published Web Location

No data is associated with this publication.

We explore the relationship between limit linear series and fibers of Abel maps in the case of curves with two smooth components glued at a single node. To an r-dimensional limit linear series satisfying a certain exactness property (weaker than the refinedness property of Eisenbud and Harris) we associate a closed subscheme of the appropriate fiber of the Abel map. We then describe this closed subscheme explicitly, computing its Hilbert polynomial and showing that it is Cohen-Macaulay of pure dimension r. We show that this construction is also compatible with one-parameter smoothings.

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