Geodesic
Projective Superspace Varieties, Superspace Quadrics and Non-Splitting
Documenta mathematica, Tome 25 (2020), pp. 65-91.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14M30, 32C11, 58A50
Keywords: complex superspaces, superspace varieties, obstraction classes, split super space projective varieties 
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     author = {Bettadapura, Kowshik},
     title = {Projective {Superspace} {Varieties,} {Superspace} {Quadrics} and {Non-Splitting}},
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Bettadapura, Kowshik. Projective Superspace Varieties, Superspace Quadrics and Non-Splitting. Documenta mathematica, Tome 25 (2020), pp. 65-91. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a69/