Gioia Failla: On the defining equations of the Hankel varieties $H(2,n)$, p.403-418

Abstract:

We investigate the problem to find the defining equations of the Hankel algebraic variety $H(r,n)$ of the Hankel $r$-planes of the projective space $\mathbb{P}^{n}$. We describe an algorithm which, provided of a positive output, gives the defining relations of $H(2,n)$, starting from the binomial relations of the toric deformation of $H(2,n)$.

Key Words: Grassmannians, Sagbi basis.

2000 Mathematics Subject Classification: Primary: 14M15;
Secondary: 13P10.

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