(1) Frobenius splitting in commutative algebra, Karen Smith and Wenliang Zhang. (2) A survey of test ideals, Karl Schwede and Kevin Tucker. (3) Globally F-regular and log Fano varities, Karl Schwede and Karen Smith. (4) Characterizations of regular local rings of characteristic p, Ernst Kunz. (5) On Noetherian rings of characteristic p, Ernst Kunz. (6) F-purity and rational singularity, Richard...

The Ernst equation is formulated on an arbitrary Riemann surface. Analytically, the problem reduces to finding solutions of the ordinary Ernst equation which are periodic along the symmetry axis. The family of (punctured) Riemann surfaces admitting a non-trivial Ernst field constitutes a " partially discretized " subspace of the usual moduli space. The method allows us to construct new exact so...

Ernst. The multiplexed arrays were fabricated by Jason Slinker.