Nodes on quintic spectrahedra

T Brysiewicz, K Kozhasov, M Kummer - arXiv preprint arXiv:2011.13860, 2020 - arxiv.org
T Brysiewicz, K Kozhasov, M Kummer
arXiv preprint arXiv:2011.13860, 2020arxiv.org
arXiv:2011.13860v1 [math.AG] 27 Nov 2020 Page 1 NODES ON QUINTIC
SPECTRAHEDRA TAYLOR BRYSIEWICZ - KHAZHGALI KOZHASOV - MARIO KUMMER
We classify transversal quintic spectrahedra by the location of 20 nodes on the respective
real determinantal surface of degree 5. We identify 65 classes of such surfaces and find an
explicit representative in each of them. 1. Introduction Spectrahedra are nonlinear
generalizations of convex polytopes. They are convex sets that are obtained as …
We classify transversal quintic spectrahedra by the location of 20 nodes on the respective real determinantal surface of degree 5. We identify 65 classes of such surfaces and find an explicit representative in each of them.
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