G. Ottaviani

activity

19982007

most citedSymplectic bundles on the plane, secant varieties and Lüroth quartics revisited

25 citations · 36 across the 5 of their papers we have counts for

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Showing 2007 · math.AGShow all

3 papers · 2 filters

math.AG2007★ 1 cited

An invariant regarding Waring's problem for cubic polynomials

Giorgio Ottaviani

We compute the equation of the 7-secant variety to the Veronese variety (P^4,O(3)), its degree is 15. This is the last missing invariant in the Alexander-Hirschowitz classification…

math.AG2007★ 25 cited

Symplectic bundles on the plane, secant varieties and Lüroth quartics revisited

Giorgio Ottaviani

Let $X = P^{2} \times P^{n - 1}$ embedded with $Ø (1, 2)$ . We prove that its $(n + 1)$ -secant variety $σ_{n + 1} (X)$ is a hypersurface, while it is expected that it fills the ambient…

math.AG2007★ 6 cited

On the Alexander-Hirschowitz Theorem

Maria Chiara Brambilla, Giorgio Ottaviani

The Alexander-Hirschowitz theorem says that a general collection of $k$ double points in $P^{n}$ imposes independent conditions on homogeneous polynomials of degree $d$ with a…