Projective Superspace Varieties, Superspace Quadrics and Non-Splitting
Kowshik BettadapuraYau Math. Sciences Center, Tsinghua University, Haidian,100084 Beijing, China
This article is a continuation of a previous article which concerned the splitting problem for subspaces of superspaces. We begin with a general account of projective superspaces. Subsequently, we specialise to subvarieties of "positive" projective superspaces. Our main result is: positive, projective superspaces are "normal", in a sense we define. Then, among others, our main application is: smooth, non-reduced, superspace quadric hypersurfaces are non-split.
Cite this article
Kowshik Bettadapura, Projective Superspace Varieties, Superspace Quadrics and Non-Splitting. Doc. Math. 25 (2020), pp. 65–91DOI 10.4171/DM/738