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Genus one factors of curves defined by separated variable polynomials
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
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