Abstract
We show that the affine surfaces x3+y3+cz3=c, c ∈Q, in the cases c≠2, c=2, contain precisely 2, respectively 4, polynomial parametric solutions corresponding to curves of arithmetic genus 0 on the surface. However, these surfaces contain infinitely many polynomial parametric solutions corresponding to curves of arithmetic genus greater than 0.
Original language | English (US) |
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Pages (from-to) | 21-32 |
Number of pages | 12 |
Journal | Manuscripta Mathematica |
Volume | 62 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1988 |
ASJC Scopus subject areas
- General Mathematics