Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counter-example to global Torelli problem for irreducible symplectic
  manifolds   We shall give an example of irreducible symplectic manifolds X and Y which
are not bimeromorphic, but have the same periods in the second cohomologies.
More explicitly, X and Y are generalized Kummer varieties of dim 4 for a
general complex torus T of dim 2 and its dual torus T^*. A key result is an
observation of Shioda for the periods of T and T^*. As a concluding remark, we
shall discuss the difference between our case and Kummer surfaces.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph