Picard groups and duality for Real Morava $E$-theories

Drew Heard, Guchuan Li, XiaoLin Danny Shi

We show, at the prime 2, that the Picard group of invertible modules over $E_n^{h{C}_2}$ is cyclic. Here, $E_n$ is the height $n$ Lubin--Tate spectrum and its $C_2$-action is induced…