Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonance varieties via blowups of P^2 and scrolls   Conjectures of Suciu relate the fundamental group of the complement M = C^n\A
of a hyperplane arrangement A to the first resonance variety of H^*(M,Z). We
describe a connection between the first resonance variety and the Orlik-Terao
algebra C(A) of the arrangement. In particular, we show that non-local
components of R^1(A) give rise to determinantal syzygies of C(A). As a result,
Proj(C(A)) lies on a scroll, placing geometric constraints on R^1(A). The key
observation is that C(A) is the homogeneous coordinate ring associated to a nef
but not ample divisor on the blowup of P^2 at the singular points of A.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs