Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinantal representations of singular hypersurfaces in P^n   A (global) determinantal representation of hypersurface in P^n is a matrix,
whose entries are linear forms in homogeneous coordinates and whose determinant
defines the hypersurface.
  We study the properties of such representations for singular (possibly
reducible or non-reduced) hypersurfaces. In particular, we obtain the
decomposability criteria for determinantal representations of globally
reducible hypersurfaces.
  Further, we classify the determinantal representations in terms of the
corresponding kernel sheaves on $X$. Finally, we extend the results to the case
of symmetric/self-adjoint representations, with implications to hyperbolic
polynomials and generalized Lax conjecture.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con