3 citations · 4 across the 2 of their papers we have counts for
8 papers
Quivers and the cohomology of homogeneous vector bundles
Giorgio Ottaviani, Elena Rubei
We describe the cohomology groups of a homogeneous vector bundle on any Hermitian symmetric variety of ADE type as the cohomology of a complex explicitly described. The…
Resolutions of homogeneous bundles on P^2
Giorgio Ottaviani, Elena Rubei
In this paper we characterize minimal free resolutions of homogeneous bundles on P^2. Besides we study stability and simplicity of homogeneous bundles on P^2 by means of their mini…
The Binet-Cauchy Theorem for the Hyperdeterminant of boundary format multidimensional Matrices
Carla Dionisi, Giorgio Ottaviani
Let , be multidimensional matrices of boundary format respectively , . Assume that so that the convolution is…
Nondegenerate multidimensional matrices and instanton bundles
Laura Costa, Giorgio Ottaviani
In this note we prove that the moduli space of rank symplectic instanton bundles on ${\PP^{2n+1}}$, defined from the well known monad condition, is affine. This result was not…
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 the scheme of k-jumping lines. We prove that is not stable for…
Regularity of the Moduli Space of Instanton Bundles
Pavel I. Katsylo, Giorgio Ottaviani
We prove that the moduli space of mathematical instanton bundles on with is smooth.