Abstract
We explore the C2-equivariant spectra Tmf1(3)and TMF1(3). In particular, we compute their C2-equivariant Picard groups and the C2-equivariant Anderson dual of Tmf1(3). This implies corresponding results for the fixed-point spectra TMF0(3)and Tmf0(3). Furthermore, we prove a real Landweber exact functor theorem.
