@article {
author = {Nourozi, Vahid and Tafazolian, Saeed},
title = {The a-number of maximal curves of third largest genus},
journal = {AUT Journal of Mathematics and Computing},
volume = {3},
number = {1},
pages = {11-16},
year = {2022},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2021.20511.1069},
abstract = {The $a$-number is an invariant of the isomorphism class of the p-torsion group scheme. In this paper, we compute a closed formula for the $a$-number of $y^q + y = x^{\frac{q+1}{3}}$ and $\sum_{t=1}^{s} y^{q/3^t}= x^{q+1}$ with $q = 3^s$ over the finite field $\mathbb{F}_{q^2}$ using the action of the Cartier operator on $H^0(\mathcal{C},\Omega^1)$.},
keywords = {$a$-number,Cartier operator,Super-singular Curves,Maximal Curves},
url = {https://ajmc.aut.ac.ir/article_4553.html},
eprint = {https://ajmc.aut.ac.ir/article_4553_ef1914e4f71159662ce2159928640ee5.pdf}
}