| The number of twistor lines contained in a surface plays an important role being an invariant under conformal transformations.Whether the algebraic surface containing infinitely many twistor lines naturally becomes a research problem.It can be proved that there are not odd degree integral surfaces in CP~3containning infinitely many twistor lines by using classical algebraic geometry and quaternionic slice regularity.In this paper,we mainly give some even degree integer algebraic surfaces in CP~3with infinitely many twistor lines based on the quaternionic slice regularity,and extend this method to all even degree algebraic surfaces that can be constructed concretely. |
