The $a$-numbers of Fermat and Hurwitz curves
Number Theory
2016-03-14 v1
Abstract
For an algebraic curve defined over an algebraically closed field of characteristic , the -number is the dimension of the space of exact holomorphic differentials on . We compute the -number for an infinite families of Fermat and Hurwitz curves. Our results apply to Hermitian curves giving a new proof for a previous result of Gross.
Keywords
Cite
@article{arxiv.1603.03604,
title = {The $a$-numbers of Fermat and Hurwitz curves},
author = {Maria Montanucci and Pietro Speziali},
journal= {arXiv preprint arXiv:1603.03604},
year = {2016}
}