Projective Superspace Varieties, Superspace Quadrics and Non-Splitting

24 Oct 2018  ·  Bettadapura Kowshik ·

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.

PDF Abstract
No code implementations yet. Submit your code now

Categories


Algebraic Geometry Mathematical Physics Mathematical Physics