Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Horrocks Correspondence on ACM Varieties   We describe a vector bundle $\sE$ on a smooth $n$-dimensional ACM variety in
terms of its cohomological invariants $H^i_*(\sE)$, $1\leq i \leq n-1$, and
certain graded modules of "socle elements" built from $\sE$. In this way we
give a generalization of the Horrocks correspondence. We prove existence
theorems where we construct vector bundles from these invariants and uniqueness
theorems where we show that these data determine a bundle up to isomorphisms.
The cases of the quadric hypersurface in $\mathbb P^{n+1}$ and the Veronese
surface in $\mathbb P^5$ are considered in more detail.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th