Explicit genus formula for any separable cubic global function field
arXiv:1811.10436
Abstract
In the present work, we determine explicitly the genus of any separable cubic extension of any global function field given the minimal polynomial of the extension. We give algorithms computing the ramification data and the genus of any separable cubic extension of any global rational function field.
arXiv comment33 pages. arXiv admin note: substantial text overlap with arXiv:1703.06219