Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the period of Lehn, Lehn, Sorger, and van Straten's symplectic
  eightfold   For the irreducible holomorphic symplectic eightfold Z associated to a cubic
fourfold Y not containing a plane, we show that a natural Abel-Jacobi map from
H^4_prim(Y) to H^2_prim(Z) is a Hodge isometry. We describe the full H^2(Z) in
terms of the Mukai lattice of the K3 category A of Y. We give numerical
conditions for Z to be birational to a moduli space of sheaves on a K3 surface
or to Hilb^4(K3). We propose a conjecture on how to use Z to produce
equivalences from A to the derived category of a K3 surface.

28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin