Geodesic
Null-quadrics of codimension 4 in $\mathbb C^7$
Matematičeskie zametki, Tome 62 (1997) no. 5, pp. 657-665

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In this paper we study the automorphisms of nondegenerate quadrics of type $(4,3)$. In particular, we classify the so-called null-quadrics (we prove that there are exactly two null-quadrics up to equivalence), and find their automorphism groups. 
@article{MZM_1997_62_5_a1,
     author = {E. G. Anisova},
     title = {Null-quadrics of codimension 4 in $\mathbb C^7$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {657--665},
     publisher = {mathdoc},
     volume = {62},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_5_a1/}
}
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E. G. Anisova. Null-quadrics of codimension 4 in $\mathbb C^7$. Matematičeskie zametki, Tome 62 (1997) no. 5, pp. 657-665. http://geodesic.mathdoc.fr/item/MZM_1997_62_5_a1/