We describe classes of toric varieties of codimension 2 which are either
minimally defined by 3 binomial equations over any algebraically closed field,
or are set-theoretic complete intersections in exactly one positive
characteristic.Comment: Revised version. To appear in: Rendiconti dell'Istituto di Matematica
dell'Universita' di Trieste. Dedicated to the memory of Fabio Ross
