Zhongwei Shen Absolute Continuity of Periodic Schrodinger Operators with Potentials in the Kato Class (41K, AMS-TeX) ABSTRACT. We consider the Schrodinger operator $-\Delta +V$ in $R^d$ with periodic potential $V$ in the Kato class. We show that, if $d=2$ or $3$, the spectrum of $-\Delta +V$ is purely absolutely continuous.