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

collaborators

Showing 2001 · math.AGShow all

3 papers · 2 filters

math.AG2001

The Binet-Cauchy Theorem for the Hyperdeterminant of boundary format multidimensional Matrices

Carla Dionisi, Giorgio Ottaviani

Let $A$ , $B$ be multidimensional matrices of boundary format respectively $\prod_{i = 0}^{p} (k_{i} + 1)$ , $\prod_{j = 0}^{q} (l_{j} + 1)$ . Assume that $k_{p} = l_{0}$ so that the convolution $A * B$ is…

math.AG2001

Nondegenerate multidimensional matrices and instanton bundles

Laura Costa, Giorgio Ottaviani

In this note we prove that the moduli space of rank $2 n$ symplectic instanton bundles on ${\PP^{2n+1}}$, defined from the well known monad condition, is affine. This result was not…

math.AG2001

Group action on instanton bundles over $\PP^3$

Laura Costa, Giorgio Ottaviani

Denote by MI(k) the moduli space of k-instanton bundles E of rank 2 on $\PP^3=\PP(V)$ and by $Z_{k} (E)$ the scheme of k-jumping lines. We prove that $[E] \in M I (k)$ is not stable for…