A NOTE ON A THEOREM OF HEATH-BROWN AND SKOROBOGATOV

作者:Jones Mike Swarbrick*
来源:The Quarterly Journal of Mathematics, 2013, 64(4): 1239-1251.
DOI:10.1093/qmath/has031

摘要

We generalize a result of Heath-Brown and Skorobogatov [Rational solutions of certain equations involving norms, Acta Math. 189 (2002), 161-177] to show that a certain class of varieties over a number field k satisfies Weak Approximation and the Hasse Principle, provided there is no Brauer-Manin obstruction.

  • 出版日期2013-12