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- Fermat_curve abstract "In mathematics, the Fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates (X:Y:Z) by the Fermat equationTherefore in terms of the affine plane its equation isAn integer solution to the Fermat equation would correspond to a nonzero rational number solution to the affine equation, and vice versa. But by Fermat's last theorem it is now known that (for n ≥ 3) there are no nontrivial integer solutions to the Fermat equation; therefore, the Fermat curve has no nontrivial rational points.The Fermat curve is non-singular and has genusThis means genus 0 for the case n = 2 (a conic) and genus 1 only for n = 3 (an elliptic curve). The Jacobian variety of the Fermat curve has been studied in depth. It is isogenous to a product of simple abelian varieties with complex multiplication.".
- Fermat_curve wikiPageExternalLink 44_01.pdf.
- Fermat_curve wikiPageID "897529".
- Fermat_curve wikiPageRevisionID "541190954".
- Fermat_curve hasPhotoCollection Fermat_curve.
- Fermat_curve subject Category:Algebraic_curves.
- Fermat_curve subject Category:Diophantine_geometry.
- Fermat_curve type Abstraction100002137.
- Fermat_curve type AlgebraicCurves.
- Fermat_curve type Attribute100024264.
- Fermat_curve type Curve113867641.
- Fermat_curve type Line113863771.
- Fermat_curve type Shape100027807.
- Fermat_curve comment "In mathematics, the Fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates (X:Y:Z) by the Fermat equationTherefore in terms of the affine plane its equation isAn integer solution to the Fermat equation would correspond to a nonzero rational number solution to the affine equation, and vice versa.".
- Fermat_curve label "Fermat curve".
- Fermat_curve label "Кривая Ферма".
- Fermat_curve sameAs m.03mvs4.
- Fermat_curve sameAs Q2612406.
- Fermat_curve sameAs Q2612406.
- Fermat_curve sameAs Fermat_curve.
- Fermat_curve wasDerivedFrom Fermat_curve?oldid=541190954.
- Fermat_curve isPrimaryTopicOf Fermat_curve.