Diophantine geometry in characteristic p: a survey

José Felipe Voloch

... it goes without saying that the function-fields over finite fields must be granted a fully simultaneous treatment with number-fields, instead of the segregated status, and at best the separate but equal facilities, which hitherto have been their lot. That, far from losing by such treatment, both races stand to gain by it,...

André Weil, 1967

• Updates.
• Introduction
• Curves
• Abelian varieties and their subvarieties
• Diophantine Approximation in characteristic p
• Omitted topics
• Appendix: Moduli, isotriviality, deformation theory and p-torsion points
• References
• About this document ...