The Hasse Principle and the Brauer-manin Obstruction for Curves
نویسنده
چکیده
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.
منابع مشابه
Cubic Points on Cubic Curves and the Brauer-manin Obstruction on K3 Surfaces
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