Geodesic
hypersurfaces in P^5 containing unexpected subvarieties
Journal of Singularities, Tome 9 (2014), pp. 219-225

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Smooth cubic 4-folds in P^5 containing a general pair of 2-planes are known to be rational. They form a family of codimension 2 in P^{55}. We find a polynomial which encodes, for all d>2, the degrees of the loci of hypersurfaces in P^5 of degree d containing some plane-pair.
DOI : 10.5427/jsing.2014.9q
Classification : 14N05, 14N15 
@article{10_5427_jsing_2014_9q,
     author = {I. Vainsencher},
     title = {hypersurfaces in {P^5} containing unexpected subvarieties},
     journal = {Journal of Singularities},
     pages = {219--225},
     publisher = {mathdoc},
     volume = {9},
     year = {2014},
     doi = {10.5427/jsing.2014.9q},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.9q/}
}
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I. Vainsencher. hypersurfaces in P^5 containing unexpected subvarieties. Journal of Singularities, Tome 9 (2014), pp. 219-225. doi: 10.5427/jsing.2014.9q

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