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Solving the Dirichlet problem constructively
(University of Canterbury. Mathematics and Statistics, 2013)
The Dirichlet problem is of central importance in both applied and abstract potential theory. We prove the (perhaps surprising) result that the existence of solutions in the general case is an essentially nonconstructive ...
Zero-cycles of degree one on Skorobogatov's bielliptic surface
© 2017 Elsevier Inc. Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer–Manin obstruction. We show that this surface has a 0-cycle of degree 1, as ...