The weighted projective superspace with weights $+1,-1$ and an analog of the Fubini--Study form

Ekaterina Shemyakova, Theodore Voronov

As a by-product of our work on super Plücker embedding, we came to the notion of a weighted projective superspace $P_{+1,-1}(V\oplus W)$ with weights $+1,-1$. The construction is n…