Journal article icon

Journal article

The Hasse principle and the Brauer-Manin obstruction for curves

Abstract:
We discuss a range of ways, extending existing methods, to demonstrate violations of the Hasse principle on curves. Of particular interest are curves which contain a rational divisor class of degree 1, even though they contain no rational point. For such curves we construct new types of examples of violations of the Hasse principle which are due to the Brauer-Manin obstruction, subject to the conjecture that the Tate-Shafarevich group of the Jacobian is finite.

Actions


Access Document


Files:

Authors


E. V. Flynn More by this author
Publication date:
2004
URN:
uuid:fb56749d-d608-4b0d-a57c-7ad877cbe0cb
Local pid:
oai:eprints.maths.ox.ac.uk:253

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP