Geodesic
Projective Superspace Varieties, Superspace Quadrics and Non-Splitting
Documenta mathematica, Tome 25 (2020), pp. 65-91
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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.
DOI : 10.4171/dm/738
Classification : 14M30, 32C11, 58A50
Mots-clés : complex superspaces, superspace varieties, obstraction classes, split super space projective varieties 
@article{10_4171_dm_738,
     author = {Kowshik Bettadapura},
     title = {Projective {Superspace} {Varieties,} {Superspace} {Quadrics} and {Non-Splitting}},
     journal = {Documenta mathematica},
     pages = {65--91},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/738},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/738/}
}
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Kowshik Bettadapura. Projective Superspace Varieties, Superspace Quadrics and Non-Splitting. Documenta mathematica, Tome 25 (2020), pp. 65-91. doi: 10.4171/dm/738

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