Genus one factors of curves defined by separated variable polynomials
Number Theory
2014-09-09 v1
Abstract
We give some sufficient conditions on complex polynomials P and Q to assure that the algebraic plane curve P(x)-Q(y)=0 has no irreducible component of genus 0 or 1. Moreover, if deg (P)=deg (Q) and if both P, Q satisfy Hypothesis I introduced by H. Fujimoto, our sufficient conditions are necessary.
Cite
@article{arxiv.1409.2216,
title = {Genus one factors of curves defined by separated variable polynomials},
author = {Ta Thi Hoai An and Nguyen Thi Ngoc Diep},
journal= {arXiv preprint arXiv:1409.2216},
year = {2014}
}