Notes on Three Formulas of Abel
Algebraic Geometry
2024-10-08 v1 Number Theory
Abstract
These notes explore three amazing formulas proved by Abel in his 1826 Paris memoir on what we now call Abelian integrals. We discuss the first two formulas from the point of view of symbolic computation and explain their connection to residues and partial fractions. The third formula arises from the first two and is related to the genus and lattice points in the Newton polygon.
Keywords
Cite
@article{arxiv.2410.03745,
title = {Notes on Three Formulas of Abel},
author = {David A. Cox},
journal= {arXiv preprint arXiv:2410.03745},
year = {2024}
}
Comments
49 pages, 4 figures