DOUBLE-LAYER QUANTUM-HALL ANTIFERROMAGNETISM AT FILLING FRACTION V=2 M WHERE M IS AN ODD INTEGER/

A low energy action for double-layer quantum Hall systems at filling f ractions v = 2/m (where m is an odd integer) is introduced. Interlayer antiferromagnetic exchange induces a phase with canted spin order, as well as a spin-singlet phase. Universal properties of zero and finite temperature transitions are obtained. We compute the critical tempera ture at which the canted order vanishes in a Kosterlitz-Thouless trans ition. Implications for recent light scattering experiments at v = 2 a re noted.