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math.AG2022
The Geometries of Jordan nets and Jordan webs
Arthur Bik, Henrik Eisenmann
A Jordan net (resp. web) is an embedding of a unital Jordan algebra of dimension (resp. ) into the space of symmetric matrices. We study the geome…
math.AG2021
Maximum relative distance between real rank-two and rank-one tensors
Henrik Eisenmann, André Uschmajew
It is shown that the relative distance in Frobenius norm of a real symmetric order- tensor of rank two to its best rank-one approximation is upper bounded by $\sqrt{1-(1-1/d)^{d…