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Rational points on singular intersections of quadrics
Part of
T. D. Browning, R. Munshi
Journal:

Compositio Mathematica / Volume 149 / Issue 9 / September 2013

Published online by Cambridge University Press:

20 June 2013, pp. 1457-1494

Print publication:

September 2013
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Given an intersection of two quadrics $X\subset { \mathbb{P} }^{m- 1} $, with $m\geq 9$, the quantitative arithmetic of the set $X( \mathbb{Q} )$ is investigated under the assumption that the singular locus of $X$ consists of a pair of conjugate singular points defined over $ \mathbb{Q} (i)$.