Homeomorphisms of Affine Surfaces over a Finite Field

Abstract

The main result of this note is essentially the following: Let V and V be irreducible affine surfaces over the algebraic closure of a finite field, and let C and C be irreducible curves on V and V, respectively. Then there is homeomorphism, with respect to the Zariski topology, from V onto V carrying C onto C. (The actual theorem is a little stronger; see… (More)

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