  This paper has two parts. In the first part, we review stable pairs and
triples on curves, leading up to Thaddeus' diagram of flips and contractions
starting from the blow-up of projective space along a curve embedded by a
complete linear series of the form K + ample. In the second part, we identify
log canonical divisors which exhibit Thaddeus' flips and contractions as "log"
flips and contractions in the sense of the log-minimal-model program.
