Geodesic
The variety of complete pairs of zero-dimensional subschemes of length 2~of a~smooth three-dimensional variety is singular
Sbornik. Mathematics, Tome 194 (2003) no. 3, pp. 361-368

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Equations are obtained that are satisfied by the vectors of the tangent space to the variety $X_{22}$ of complete pairs of zero-dimensional subschemes of length 2 of a smooth three-dimensional projective algebraic variety at the most special point of the variety $X_{22}$. It is proved that the system of equations obtained is complete and the variety $X_{22}$ is singular. 
@article{SM_2003_194_3_a2,
     author = {N. V. Timofeeva},
     title = {The variety of complete pairs of zero-dimensional subschemes of length 2~of a~smooth three-dimensional variety is singular},
     journal = {Sbornik. Mathematics},
     pages = {361--368},
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     volume = {194},
     number = {3},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2003_194_3_a2/}
}
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N. V. Timofeeva. The variety of complete pairs of zero-dimensional subschemes of length 2~of a~smooth three-dimensional variety is singular. Sbornik. Mathematics, Tome 194 (2003) no. 3, pp. 361-368. http://geodesic.mathdoc.fr/item/SM_2003_194_3_a2/