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math.AG2017
Random spectrahedra
Paul Breiding, Khazhgali Kozhasov, Antonio Lerario
Spectrahedra are affine-linear sections of the cone of positive semidefinite symmetric -matrices. We consider random spectrahedra that are obtained by in…
math.AG2017
On fully real eigenconfigurations of tensors
Khazhgali Kozhasov
We construct generic real symmetric tensors with only real eigenvectors or, equivalently, real homogeneous polynomials with the maximum possible finite number of critical points on…
math.AG2017
On the number of flats tangent to convex hypersurfaces in random position
Khazhgali Kozhasov, Antonio Lerario
We investigate the problem of the number of flats simultaneously tangent to several convex hypersurfaces in real projective space from a random point of view. More precisely, we sa…