Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778477 | Advances in Mathematics | 2017 | 18 Pages |
Abstract
We consider a general curve of fixed gonality k and genus g. We propose an estimate Ïâ¾g,k(d,r) for the dimension of the variety Wdr(C) of special linear series on C, by solving an analogous problem in tropical geometry. Using work of Coppens and Martens, we prove that this estimate is exactly correct if kâ¥15g+2, and is an upper bound in all other cases. We also completely characterize the cases in which Wdr(C) has the same dimension as for a general curve of genus g.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Nathan Pflueger,