3 citations · 9 across the 4 of their papers we have counts for
7 papers
Resolutions of Segre embeddings of projective spaces of any dimension
Elena Rubei
This paper deals with syzygies of Segre embeddings. Let d >=3 and n_1, ..., n_d nonzero natural numbers. We prove that O(1,...., 1) on the product of P^{n_1}, ...,P^{n_d} satisfies…
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…
A result on resolutions of Veronese embeddings
Elena Rubei
This paper deals with syzygies of the ideals of the Veronese embeddings. We prove that O(3) on P^n satisfies Property N_4 for every n. Besides we prove that O(d) on P^n satisfies N…
A strange example concerning Property N_p
Elena Rubei
We exhibit an example of a line bundle M on a smooth complex projective variety Y s.t. M satisfy Property N_p for some p, the p-module of a minimal resolution of the ideal of the e…
On syzygies of Segre embeddings
Elena Rubei
The main result of this paper is the following: let d be a natural number >= 3; the line bundle O(1,...,1) on the product of d copies of the projective line P^1 satisfies Property…