Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular divisors and syzygies of polarized abelian threefolds   We provide numerical conditions for a polarized abelian threefold $(A,L)$ to
have simple syzygies, in terms of property $(N_p)$ and the vanishing of Koszul
cohomology groups $K_{p,1}$. We rely on a reduction method of
Lazarsfeld-Pareschi-Popa, convex geometry of Newton-Okounkov bodies, inversion
of adjunction techniques from work on Fujita's conjecture, and the use of
differentiation by Ein-Lazarsfeld-Nakamye. As a by-product, we construct
effective divisors in any ample class of high self-intersetion, whose
singularities are all concentrated on an abelian subvariety. This can be seen
as the dual picture considered by Ein-Lazarsfeld for theta divisors.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys