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Rational points on singular intersections of quadrics
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- 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)$.
Averages of shifted convolutions of d3(n)
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 3 / October 2012
- Published online by Cambridge University Press:
- 12 April 2012, pp. 551-576
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Rational points on cubic hypersurfaces that split off a form. With an appendix by J.-L. Colliot-Thélène
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- Journal:
- Compositio Mathematica / Volume 146 / Issue 4 / July 2010
- Published online by Cambridge University Press:
- 15 February 2010, pp. 853-885
- Print publication:
- July 2010
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