Maximality of quartic symmetroids with a double quadric of codimension 1
Algebraic Geometry
2019-05-06 v1
Abstract
We prove that the dimension of a quartic symmetroid singular along a quadric of codimension 1 is at most 4, if it is not a cone. In the maximal case, the quadric is reducible and consists of rank-3-points. If the quadric is irreducible, it consists of rank-2-points and the symmetroid is at most 3-dimensional.
Cite
@article{arxiv.1905.01091,
title = {Maximality of quartic symmetroids with a double quadric of codimension 1},
author = {Martin Helsø},
journal= {arXiv preprint arXiv:1905.01091},
year = {2019}
}
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14 pages