Projective Superspace Varieties, Superspace Quadrics and Non-Splitting

  • Kowshik Bettadapura

    Yau Math. Sciences Center, Tsinghua University, Haidian,100084 Beijing, China
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Abstract

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. 65–91

DOI 10.4171/DM/738