Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Failure of the Hasse principle for Chatelet surfaces in characteristic 2   Given any global field k of characteristic 2, we construct a Chatelet surface
over k which fails to satisfy the Hasse principle. This failure is due to a
Brauer-Manin obstruction. This construction extends a result of Poonen to
characteristic 2, thereby showing that the etale-Brauer obstruction is
insufficient to explain all failures of the Hasse principle over a global field
of any characteristic.

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The categories of this paper are: cs
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc