Results in Mathematics

, Volume 35, Issue 1–2, pp 107–118 | Cite as

On Affine Surface That can be Completed by A Smooth Curve

  • A. Lesfari
Article
First Online:
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Abstract

In C6, we consider a non linear system of differential equations with four invariants: two quadrics, a cubic and a quartic. Using Enriques-Kodaira classification of algebraic surfaces, we show that the affine surface obtained by setting these invariants equal to constants is the affine part of an abelian surface. This affine surface is completed by gluing to it a one genus 9 curve consisting of two isomorphic genus 3 curves intersecting transversely in 4 points.

En]Keywords

Abelian variety intersection compactification 

Math subject classification

14C17 14E15 14H40 58F07 
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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • A. Lesfari
    • 1
  1. 1.Département de MathématiquesUniversité Chouaïb Doukkali Faculté des SciencesEl JadidaMaroc

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