| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8897649 | Journal of Pure and Applied Algebra | 2018 | 12 Pages |
Abstract
For an algebraic curve X defined over an algebraically closed field of characteristic p>0, the a-number a(X) is the dimension of the space of exact holomorphic differentials on X. We compute the a-number for infinite families of Fermat and Hurwitz curves. As our results apply to Hermitian curves, we recover a previous result by Gross [10].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Maria Montanucci, Pietro Speziali,